Added javadoc comments
This commit is contained in:
@@ -1,10 +1,10 @@
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//JavaClasses/src/main/java/mattrixwv/NumberAlgorithms.java
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//Matthew Ellison
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// Created: 07-03-21
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//Modified: 04-13-23
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//Modified: 08-11-24
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//This class contains algorithms for numbers that I've found it useful to keep around
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/*
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Copyright (C) 2023 Matthew Ellison
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Copyright (C) 2024 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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@@ -32,15 +32,40 @@ import java.util.List;
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import com.mattrixwv.exceptions.InvalidResult;
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/**
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* Utility class that provides a variety of number-related algorithms,
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* such as prime number generation, Fibonacci number calculation,
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* factorial computation, and greatest common divisor determination.
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* <p> This class cannot be instantiated. </p>
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*/
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public class NumberAlgorithms{
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/**
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* Private constructor to prevent instantiation
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*/
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private NumberAlgorithms(){}
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/**
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* Error message used for invalid factorial inputs.
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*/
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public static final String FACTORIAL_NEGATIVE_MESSAGE = "n! cannot be negative";
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//This function returns a list with all the prime numbers <= goalNumber
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//?This function returns a list with all the prime numbers <= goalNumber
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/**
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* Returns a list of all prime numbers less than or equal to the specified number.
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*
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* @param goalNumber the upper limit for generating prime numbers
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* @return a list of prime numbers less than or equal to {@code goalNumber}
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* @see #getPrimes(long)
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*/
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public static List<Integer> getPrimes(int goalNumber){
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return ArrayAlgorithms.longToInt(getPrimes((long) goalNumber));
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}
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/**
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* Returns a list of all prime numbers less than or equal to the specified number.
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*
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* @param goalNumber the upper limit for generating prime numbers
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* @return a list of prime numbers less than or equal to {@code goalNumber}
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*/
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public static List<Long> getPrimes(long goalNumber){
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ArrayList<Long> primes = new ArrayList<>(); //Holds the prime numbers
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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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@@ -54,7 +79,7 @@ public class NumberAlgorithms{
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primes.add(2L);
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}
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//We cna now start at 3 and skipp all even numbers, because they cannot be prime
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//We can now start at 3 and skip all even numbers, because they cannot be prime
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for(long possiblePrime = 3L;possiblePrime <= goalNumber;possiblePrime += 2L){
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//Check all current primes, up to sqrt(possiblePrime), to see if there is a divisor
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Double topPossibleFactor = Math.ceil(Math.sqrt(possiblePrime));
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@@ -79,6 +104,12 @@ public class NumberAlgorithms{
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Collections.sort(primes);
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return primes;
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}
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/**
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* Returns a list of all prime numbers less than or equal to the specified number.
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*
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* @param goalNumber the upper limit for generating prime numbers
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* @return a list of prime numbers less than or equal to {@code goalNumber}
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*/
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public static List<BigInteger> getPrimes(BigInteger goalNumber){
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ArrayList<BigInteger> primes = new ArrayList<>(); //Holds the prime numbers
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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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@@ -119,10 +150,23 @@ public class NumberAlgorithms{
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}
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//This function gets a certain number of primes
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//?This function gets a certain number of primes
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/**
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* Returns a list of the specified number of prime numbers.
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*
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* @param numberOfPrimes the number of prime numbers to generate
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* @return a list containing the first {@code numberOfPrimes} prime numbers
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* @see #getNumPrimes(long)
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*/
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public static List<Integer> getNumPrimes(int numberOfPrimes){
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return ArrayAlgorithms.longToInt(getNumPrimes((long)numberOfPrimes));
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}
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/**
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* Returns a list of the specified number of prime numbers.
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*
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* @param numberOfPrimes the number of prime numbers to generate
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* @return a list containing the first {@code numberOfPrimes} prime numbers
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*/
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public static List<Long> getNumPrimes(long numberOfPrimes){
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ArrayList<Long> primes = new ArrayList<>(); //Holds the prime numbers
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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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@@ -161,6 +205,12 @@ public class NumberAlgorithms{
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Collections.sort(primes);
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return primes;
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}
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/**
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* Returns a list of the specified number of prime numbers.
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*
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* @param numberOfPrimes the number of prime numbers to generate
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* @return a list containing the first {@code numberOfPrimes} prime numbers
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*/
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public static List<BigInteger> getNumPrimes(BigInteger numberOfPrimes){
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ArrayList<BigInteger> primes = new ArrayList<>(); //Holds the prime numbers
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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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@@ -201,7 +251,13 @@ public class NumberAlgorithms{
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}
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//This function return true if the value passed to it is prime
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//?This function return true if the value passed to it is prime
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/**
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* Determines if a given number is prime.
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*
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* @param possiblePrime the number to be checked for primality
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* @return {@code true} if {@code possiblePrime} is a prime number, {@code false} otherwise
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*/
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public static boolean isPrime(long possiblePrime){
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if(possiblePrime <= 3){
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return possiblePrime > 1;
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@@ -216,6 +272,12 @@ public class NumberAlgorithms{
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}
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return true;
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}
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/**
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* Determines if a given number is prime.
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*
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* @param possiblePrime the number to be checked for primality
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* @return {@code true} if {@code possiblePrime} is a prime number, {@code false} otherwise
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*/
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public static boolean isPrime(BigInteger possiblePrime){
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if(possiblePrime.compareTo(BigInteger.valueOf(3)) <= 0){
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return possiblePrime.compareTo(BigInteger.ONE) > 0;
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@@ -232,10 +294,23 @@ public class NumberAlgorithms{
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}
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//This function returns all factors of goalNumber
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//?This function returns all factors of goalNumber
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/**
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* Returns a list of prime factors of the specified number.
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*
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* @param goalNumber the number to factorize
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* @return a list of prime factors of {@code goalNumber}
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* @see #getFactors(long)
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*/
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public static List<Integer> getFactors(int goalNumber) throws InvalidResult{
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return ArrayAlgorithms.longToInt(getFactors((long)goalNumber));
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}
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/**
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* Returns a list of prime factors of the specified number.
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*
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* @param goalNumber the number to factorize
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* @return a list of prime factors of {@code goalNumber}
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*/
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public static List<Long> getFactors(long goalNumber) throws InvalidResult{
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//You need to get all the primes that could be factors of this number so you can test them
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Double topPossiblePrime = Math.ceil(Math.sqrt(goalNumber));
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@@ -270,6 +345,12 @@ public class NumberAlgorithms{
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//Return the list of factors
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return factors;
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}
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/**
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* Returns a list of prime factors of the specified number.
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*
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* @param goalNumber the number to factorize
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* @return a list of prime factors of {@code goalNumber}
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*/
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public static List<BigInteger> getFactors(BigInteger goalNumber) throws InvalidResult{
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//You need to get all the primes that could be factors of this number so you can test them
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BigInteger topPossiblePrime = goalNumber.sqrt().add(BigInteger.ONE);
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@@ -306,10 +387,23 @@ public class NumberAlgorithms{
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}
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//This function returns all the divisors of goalNumber
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//?This function returns all the divisors of goalNumber
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/**
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* Returns a list of divisors of the specified number.
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*
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* @param goalNumber the number to find divisors for
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* @return a list of divisors of {@code goalNumber}
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* @see #getDivisors(long)
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*/
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public static List<Integer> getDivisors(int goalNumber){
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return ArrayAlgorithms.longToInt(getDivisors((long)goalNumber));
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}
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/**
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* Returns a list of divisors of the specified number.
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*
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* @param goalNumber the number to find divisors for
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* @return a list of divisors of {@code goalNumber}
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*/
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public static List<Long> getDivisors(long goalNumber){
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HashSet<Long> divisors = new HashSet<>();
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//Start by checking that the number is positive
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@@ -338,6 +432,12 @@ public class NumberAlgorithms{
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//Return the list
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return divisorList;
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}
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/**
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* Returns a list of divisors of the specified number.
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*
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* @param goalNumber the number to find divisors for
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* @return a list of divisors of {@code goalNumber}
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*/
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public static List<BigInteger> getDivisors(BigInteger goalNumber){
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HashSet<BigInteger> divisors = new HashSet<>();
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//Start by checking that the number is positive
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@@ -367,10 +467,24 @@ public class NumberAlgorithms{
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return divisorList;
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}
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//This function returns the goalSubscript'th Fibonacci number
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//?This function returns the goalSubscript'th Fibonacci number
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/**
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* Returns the Fibonacci number at the specified position.
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*
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* @param goalSubscript the position of the desired Fibonacci number
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* @return the Fibonacci number at position {@code goalSubscript}
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* @see #getFib(long)
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*/
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public static int getFib(int goalSubscript){
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return (int)getFib((long)goalSubscript);
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}
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/**
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* Returns the Fibonacci number at the specified position.
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*
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* @param goalSubscript the position of the desired Fibonacci number
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* @return the Fibonacci number at position {@code goalSubscript}
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*/
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public static long getFib(long goalSubscript){
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//Setup the variables
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long[] fibNums = {1L, 1L, 0L}; //A list to keep track of the Fibonacci numbers. It need only be 3 long because we only need the one we are working on and the last 2
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@@ -389,6 +503,12 @@ public class NumberAlgorithms{
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//Return the proper number. The location counter is 1 off of the subscript
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return fibNums[(fibLoc - 1) % 3];
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}
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/**
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* Returns the Fibonacci number at the specified position.
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*
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* @param goalSubscript the position of the desired Fibonacci number
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* @return the Fibonacci number at position {@code goalSubscript}
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*/
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public static BigInteger getFib(BigInteger goalSubscript){
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//Setup the variables
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BigInteger[] fibNums = {BigInteger.valueOf(1), BigInteger.valueOf(1), BigInteger.valueOf(0)}; //A list to keep track of the Fibonacci numbers. It need only be 3 long because we only need the one we are working on and the last 2
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@@ -408,10 +528,24 @@ public class NumberAlgorithms{
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return fibNums[(fibLoc - 1) % 3];
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}
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//This function returns a list of all Fibonacci numbers <= goalNumber
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//?This function returns a list of all Fibonacci numbers <= goalNumber
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/**
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* Returns a list of all Fibonacci numbers less than or equal to the specified number.
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*
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* @param goalNumber the upper limit for generating Fibonacci numbers
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* @return a list of Fibonacci numbers less than or equal to {@code goalNumber}
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* @see #getAllFib(long)
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*/
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public static List<Integer> getAllFib(int goalNumber){
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return ArrayAlgorithms.longToInt(getAllFib((long) goalNumber));
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}
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/**
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* Returns a list of all Fibonacci numbers less than or equal to the specified number.
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*
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* @param goalNumber the upper limit for generating Fibonacci numbers
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* @return a list of Fibonacci numbers less than or equal to {@code goalNumber}
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*/
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public static List<Long> getAllFib(long goalNumber){
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//Setup the variables
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ArrayList<Long> fibNums = new ArrayList<>(); //A list to save the Fibonacci numbers
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@@ -434,6 +568,12 @@ public class NumberAlgorithms{
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fibNums.remove(fibNums.size() - 1);
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return fibNums;
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}
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/**
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* Returns a list of all Fibonacci numbers less than or equal to the specified number.
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*
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* @param goalNumber the upper limit for generating Fibonacci numbers
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* @return a list of Fibonacci numbers less than or equal to {@code goalNumber}
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*/
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public static List<BigInteger> getAllFib(BigInteger goalNumber){
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//Setup the variables
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ArrayList<BigInteger> fibNums = new ArrayList<>(); //A list to save the Fibonacci numbers
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@@ -457,10 +597,26 @@ public class NumberAlgorithms{
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return fibNums;
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}
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//This function returns the factorial of the number passed to it
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//?This function returns the factorial of the number passed to it
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/**
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* Calculates the factorial of the specified number.
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*
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* @param goalNumber the number to calculate the factorial for
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* @return the factorial of {@code goalNumber}
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* @throws IllegalArgumentException if {@code goalNumber} is negative
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* @see #factorial(long)
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*/
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public static int factorial(int num) throws InvalidParameterException{
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return (int)factorial((long)num);
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}
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/**
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* Calculates the factorial of the specified number.
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*
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* @param goalNumber the number to calculate the factorial for
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* @return the factorial of {@code goalNumber}
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* @throws IllegalArgumentException if {@code goalNumber} is negative
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*/
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public static long factorial(long num) throws InvalidParameterException{
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long fact = 1L; //The value of the factorial
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@@ -475,6 +631,13 @@ public class NumberAlgorithms{
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return fact;
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}
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/**
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* Calculates the factorial of the specified number.
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*
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* @param goalNumber the number to calculate the factorial for
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* @return the factorial of {@code goalNumber}
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* @throws IllegalArgumentException if {@code goalNumber} is negative
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*/
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public static BigInteger factorial(BigInteger num) throws InvalidParameterException{
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BigInteger fact = BigInteger.valueOf(1L);
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@@ -490,10 +653,26 @@ public class NumberAlgorithms{
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return fact;
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}
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//This function returns the GCD of the two numbers sent to it
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//?This function returns the GCD of the two numbers sent to it
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/**
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* Calculates the greatest common divisor (GCD) of two numbers.
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*
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* @param num1 the first number
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* @param num2 the second number
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* @return the greatest common divisor of {@code num1} and {@code num2}
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* @see #gcd(long, long)
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*/
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public static int gcd(int num1, int num2){
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return (int)gcd((long)num1, (long)num2);
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}
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/**
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* Calculates the greatest common divisor (GCD) of two numbers.
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*
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* @param num1 the first number
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* @param num2 the second number
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* @return the greatest common divisor of {@code num1} and {@code num2}
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*/
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public static long gcd(long num1, long num2){
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while((num1 != 0) && (num2 != 0)){
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if(num1 > num2){
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@@ -505,6 +684,13 @@ public class NumberAlgorithms{
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}
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return num1 | num2;
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}
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/**
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* Calculates the greatest common divisor (GCD) of two numbers.
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*
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* @param num1 the first number
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* @param num2 the second number
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* @return the greatest common divisor of {@code num1} and {@code num2}
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*/
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public static BigInteger gcd(BigInteger num1, BigInteger num2){
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while(!num1.equals(BigInteger.ZERO) && !num2.equals(BigInteger.ZERO)){
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if(num1.compareTo(num2) > 0){
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@@ -517,11 +703,23 @@ public class NumberAlgorithms{
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return num1.or(num2);
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}
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//Converts a number to its binary equivalent
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//?Converts a number to its binary equivalent
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/**
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* Converts a number to its binary equivalent.
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*
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* @param num the number to convert
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* @return the binary equivalent of {@code num}
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*/
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public static String toBin(long num){
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//Convert the number to binary string
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return Long.toBinaryString(num);
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}
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/**
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* Converts a number to its binary equivalent.
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*
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* @param num the number to convert
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* @return the binary equivalent of {@code num}
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*/
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public static String toBin(BigInteger num){
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//Conver the number to binary string
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return num.toString(2);
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