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Updated to improve efficiency
This commit is contained in:
@@ -35,7 +35,7 @@ public class Algorithms{
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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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public static ArrayList<Integer> getPrimes(Integer goalNumber){
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public static ArrayList<Integer> getPrimes(Integer goalNumber){
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ArrayList<Integer> primes = new ArrayList<Integer>(); //Holds the prime numbers
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ArrayList<Integer> primes = new ArrayList<Integer>(); //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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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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//If the number is 0 or negative return an empty list
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//If the number is 0 or negative return an empty list
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if(goalNumber <= 1){
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if(goalNumber <= 1){
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@@ -80,7 +80,7 @@ public class Algorithms{
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}
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}
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public static ArrayList<Long> getPrimes(Long goalNumber){
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public static ArrayList<Long> getPrimes(Long goalNumber){
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ArrayList<Long> primes = new ArrayList<Long>(); //Holds the prime numbers
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ArrayList<Long> primes = new ArrayList<Long>(); //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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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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//If the numebr is 0 or negative return an empty list
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//If the numebr is 0 or negative return an empty list
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if(goalNumber <= 1){
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if(goalNumber <= 1){
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@@ -92,7 +92,7 @@ public class Algorithms{
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}
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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 cna now start at 3 and skipp all even numbers, because they cannot be prime
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for(Long possiblePrime = 3L;possiblePrime <= goalNumber;possiblePrime += 2L){
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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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//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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Double topPossibleFactor = Math.ceil(Math.sqrt(possiblePrime));
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//We can safely assume that there will be at least 1 element in the primes list because of 2 being added before this
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//We can safely assume that there will be at least 1 element in the primes list because of 2 being added before this
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@@ -125,7 +125,7 @@ public class Algorithms{
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}
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}
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public static ArrayList<BigInteger> getPrimes(BigInteger goalNumber){
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public static ArrayList<BigInteger> getPrimes(BigInteger goalNumber){
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ArrayList<BigInteger> primes = new ArrayList<BigInteger>(); //Holds the prime numbers
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ArrayList<BigInteger> primes = new ArrayList<BigInteger>(); //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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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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//If the number is 1, 0 or negative return an empty list
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//If the number is 1, 0 or negative return an empty list
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if(goalNumber.compareTo(BigInteger.valueOf(1)) <= 0){
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if(goalNumber.compareTo(BigInteger.valueOf(1)) <= 0){
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@@ -171,7 +171,7 @@ public class Algorithms{
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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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public static ArrayList<Integer> getNumPrimes(Integer numberOfPrimes){
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public static ArrayList<Integer> getNumPrimes(Integer numberOfPrimes){
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ArrayList<Integer> primes = new ArrayList<Integer>(); //Holds the prime numbers
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ArrayList<Integer> primes = new ArrayList<Integer>(); //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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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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//If the numebr is 0 or negative return an empty list
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//If the numebr is 0 or negative return an empty list
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if(numberOfPrimes <= 1){
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if(numberOfPrimes <= 1){
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@@ -216,7 +216,7 @@ public class Algorithms{
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}
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}
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public static ArrayList<Long> getNumPrimes(Long numberOfPrimes){
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public static ArrayList<Long> getNumPrimes(Long numberOfPrimes){
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ArrayList<Long> primes = new ArrayList<Long>(); //Holds the prime numbers
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ArrayList<Long> primes = new ArrayList<Long>(); //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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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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//If the numebr is 0 or negative return an empty list
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//If the numebr is 0 or negative return an empty list
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if(numberOfPrimes <= 1){
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if(numberOfPrimes <= 1){
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@@ -228,7 +228,7 @@ public class Algorithms{
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}
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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 cna now start at 3 and skipp all even numbers, because they cannot be prime
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for(Long possiblePrime = 3L;primes.size() < numberOfPrimes;possiblePrime += 2L){
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for(long possiblePrime = 3L;primes.size() < numberOfPrimes;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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//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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Double topPossibleFactor = Math.ceil(Math.sqrt(possiblePrime));
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//We can safely assume that there will be at least 1 element in the primes list because of 2 being added before this
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//We can safely assume that there will be at least 1 element in the primes list because of 2 being added before this
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@@ -261,7 +261,7 @@ public class Algorithms{
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}
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}
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public static ArrayList<BigInteger> getNumPrimes(BigInteger numberOfPrimes){
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public static ArrayList<BigInteger> getNumPrimes(BigInteger numberOfPrimes){
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ArrayList<BigInteger> primes = new ArrayList<BigInteger>(); //Holds the prime numbers
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ArrayList<BigInteger> primes = new ArrayList<BigInteger>(); //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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boolean foundFactor = false; //A flag for whether a factor of the current number has been found
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//If the numebr is 0 or negative return an empty list
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//If the numebr is 0 or negative return an empty list
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if(numberOfPrimes.compareTo(BigInteger.valueOf(1)) <= 0){
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if(numberOfPrimes.compareTo(BigInteger.valueOf(1)) <= 0){
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@@ -362,8 +362,7 @@ public class Algorithms{
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goalNumber /= goalNumber;
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goalNumber /= goalNumber;
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}
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}
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//If for some reason the goalNumber is not 1 throw an error
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//TODO: If for some reason the goalNumber is not 1 throw an error
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///Need to add the appropriate error here
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//Return the list of factors
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//Return the list of factors
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return factors;
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return factors;
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@@ -394,8 +393,7 @@ public class Algorithms{
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goalNumber.divide(goalNumber);
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goalNumber.divide(goalNumber);
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}
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}
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//If for some reason the goalNumber is not 1 throw an error
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//TODO: If for some reason the goalNumber is not 1 throw an error
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///Need to add the appropriate error here
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//Return the list of factors
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//Return the list of factors
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return factors;
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return factors;
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@@ -415,7 +413,7 @@ public class Algorithms{
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//Start at 3 and loop through all numbers < sqrt(goalNumber) looking for a number that divides it evenly
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//Start at 3 and loop through all numbers < sqrt(goalNumber) looking for a number that divides it evenly
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Double topPossibleDivisor = Math.ceil(Math.sqrt(goalNumber));
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Double topPossibleDivisor = Math.ceil(Math.sqrt(goalNumber));
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for(Integer possibleDivisor = 1;possibleDivisor <= topPossibleDivisor;++possibleDivisor){
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for(int possibleDivisor = 1;possibleDivisor <= topPossibleDivisor;++possibleDivisor){
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//If you find one add it and the number it creates to the list
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//If you find one add it and the number it creates to the list
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if((goalNumber % possibleDivisor) == 0){
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if((goalNumber % possibleDivisor) == 0){
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divisors.add(possibleDivisor);
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divisors.add(possibleDivisor);
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@@ -449,7 +447,7 @@ public class Algorithms{
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//Start at 3 and loop through all numbers < sqrt(goalNumber) looking for a number that divides it evenly
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//Start at 3 and loop through all numbers < sqrt(goalNumber) looking for a number that divides it evenly
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Double topPossibleDivisor = Math.ceil(Math.sqrt(goalNumber));
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Double topPossibleDivisor = Math.ceil(Math.sqrt(goalNumber));
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for(Long possibleDivisor = 1L;possibleDivisor <= topPossibleDivisor;++possibleDivisor){
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for(long possibleDivisor = 1L;possibleDivisor <= topPossibleDivisor;++possibleDivisor){
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//If you find one add it and the number it creates to the list
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//If you find one add it and the number it creates to the list
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if((goalNumber % possibleDivisor) == 0){
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if((goalNumber % possibleDivisor) == 0){
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divisors.add(possibleDivisor);
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divisors.add(possibleDivisor);
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@@ -504,9 +502,9 @@ public class Algorithms{
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return divisors;
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return divisors;
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}
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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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public static Integer getFib(Integer goalSubscript){
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public static int getFib(int goalSubscript){
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//Setup the variables
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//Setup the variables
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Integer[] fibNums = {1, 1, 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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int[] fibNums = {1, 1, 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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//If the number is <= 0 return 0
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//If the number is <= 0 return 0
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if(goalSubscript <= 0){
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if(goalSubscript <= 0){
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@@ -514,7 +512,7 @@ public class Algorithms{
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}
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}
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//Loop through the list, generating Fibonacci numbers until it finds the correct subscript
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//Loop through the list, generating Fibonacci numbers until it finds the correct subscript
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Integer fibLoc = 2;
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int fibLoc = 2;
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for(fibLoc = 2;fibLoc < goalSubscript;++fibLoc){
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for(fibLoc = 2;fibLoc < goalSubscript;++fibLoc){
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fibNums[fibLoc % 3] = fibNums[(fibLoc - 1) % 3] + fibNums[(fibLoc - 2) % 3];
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fibNums[fibLoc % 3] = fibNums[(fibLoc - 1) % 3] + fibNums[(fibLoc - 2) % 3];
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}
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}
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@@ -522,9 +520,9 @@ public class Algorithms{
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//Return the propper number. The location counter is 1 off of the subscript
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//Return the propper number. The location counter is 1 off of the subscript
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return fibNums[(fibLoc - 1) % 3];
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return fibNums[(fibLoc - 1) % 3];
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}
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}
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public static Long getFib(Long goalSubscript){
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public static long getFib(long goalSubscript){
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//Setup the variables
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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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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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//If the number is <= 0 return 0
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//If the number is <= 0 return 0
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if(goalSubscript <= 0){
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if(goalSubscript <= 0){
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@@ -532,7 +530,7 @@ public class Algorithms{
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}
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}
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//Loop through the list, generating Fibonacci numbers until it finds the correct subscript
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//Loop through the list, generating Fibonacci numbers until it finds the correct subscript
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Integer fibLoc = 2;
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int fibLoc = 2;
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for(fibLoc = 2;fibLoc < goalSubscript;++fibLoc){
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for(fibLoc = 2;fibLoc < goalSubscript;++fibLoc){
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fibNums[fibLoc % 3] = fibNums[(fibLoc - 1) % 3] + fibNums[(fibLoc - 2) % 3];
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fibNums[fibLoc % 3] = fibNums[(fibLoc - 1) % 3] + fibNums[(fibLoc - 2) % 3];
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}
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}
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@@ -550,7 +548,7 @@ public class Algorithms{
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}
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}
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//Loop through the list, generating Fibonacci numbers until it finds the correct subscript
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//Loop through the list, generating Fibonacci numbers until it finds the correct subscript
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Integer fibLoc = 2;
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int fibLoc = 2;
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for(fibLoc = 2;goalSubscript.compareTo(BigInteger.valueOf(fibLoc)) > 0;++fibLoc){
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for(fibLoc = 2;goalSubscript.compareTo(BigInteger.valueOf(fibLoc)) > 0;++fibLoc){
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fibNums[fibLoc % 3] = fibNums[(fibLoc - 1) % 3].add(fibNums[(fibLoc - 2) % 3]);
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fibNums[fibLoc % 3] = fibNums[(fibLoc - 1) % 3].add(fibNums[(fibLoc - 2) % 3]);
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}
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}
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@@ -626,29 +624,29 @@ public class Algorithms{
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return fibNums;
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return fibNums;
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}
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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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public static Integer factorial(Integer num) throws InvalidParameterException{
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public static int factorial(int num) throws InvalidParameterException{
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Integer fact = 1; //The value of the factorial
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int fact = 1; //The value of the factorial
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//If the number passed in is < 0 throw an exception
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//If the number passed in is < 0 throw an exception
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if(num < 0){
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if(num < 0){
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throw new InvalidParameterException("n! cannot be negative");
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throw new InvalidParameterException("n! cannot be negative");
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}
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}
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//Loop through every number up to and including num and add the product to the factorial
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//Loop through every number up to and including num and add the product to the factorial
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for(Integer cnt = 2;cnt.compareTo(num) <= 0;++cnt){
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for(int cnt = 2;cnt <= num;++cnt){
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fact *= cnt;
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fact *= cnt;
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}
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}
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return fact;
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return fact;
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}
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}
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public static Long factorial(Long num) throws InvalidParameterException{
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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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long fact = 1L; //The value of the factorial
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//If the number passed in is < 0 throw an exception
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//If the number passed in is < 0 throw an exception
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if(num < 0){
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if(num < 0){
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throw new InvalidParameterException("n! cannot be negative");
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throw new InvalidParameterException("n! cannot be negative");
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}
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}
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//Loop through every number up to and including num and add the product to the factorial
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//Loop through every number up to and including num and add the product to the factorial
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for(Long cnt = 2L;cnt.compareTo(num) <= 0;++cnt){
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for(long cnt = 2L;cnt <= num;++cnt){
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fact *= cnt;
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fact *= cnt;
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}
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}
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@@ -669,34 +667,34 @@ public class Algorithms{
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return fact;
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return fact;
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}
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}
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//This function returns the sum of all elements in the list
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//This function returns the sum of all elements in the list
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public static Integer getSum(ArrayList<Integer> nums){
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public static int getSum(ArrayList<Integer> nums){
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//If a blank list was passed to the function return 0 as the sum
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//If a blank list was passed to the function return 0 as the sum
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if(nums.size() == 0){
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if(nums.size() == 0){
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return 0;
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return 0;
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}
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}
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//Setup the variables
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//Setup the variables
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Integer sum = 0;
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int sum = 0;
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//Loop through every element in the list and add them together
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//Loop through every element in the list and add them together
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for(Integer num : nums){
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for(int num : nums){
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sum += num;
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sum += num;
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}
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}
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//Return the sum of all elements
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//Return the sum of all elements
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return sum;
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return sum;
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}
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}
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public static Long getLongSum(ArrayList<Long> nums){
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public static long getLongSum(ArrayList<Long> nums){
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//If a blank list was passed to the function return 0 as the sum
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//If a blank list was passed to the function return 0 as the sum
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if(nums.size() == 0){
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if(nums.size() == 0){
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return 0L;
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return 0L;
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}
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}
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//Setup the variables
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//Setup the variables
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Long sum = 0L;
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long sum = 0L;
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//Loop through every element in the list and add them together
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//Loop through every element in the list and add them together
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for(Long num : nums){
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for(long num : nums){
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sum += num;
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sum += num;
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}
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}
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@@ -728,27 +726,27 @@ public class Algorithms{
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}
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}
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//Setup the variables
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//Setup the variables
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Integer product = 1; //Start at 1 because x * 1 = x
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int product = 1; //Start at 1 because x * 1 = x
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//Loop through every element in the list and multiply them together
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//Loop through every element in the list and multiply them together
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for(Integer num : nums){
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for(int num : nums){
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product *= num;
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product *= num;
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}
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}
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//Return the product of all elements
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//Return the product of all elements
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return product;
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return product;
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}
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}
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public static Long getLongProd(ArrayList<Long> nums){
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public static long getLongProd(ArrayList<Long> nums){
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//If a blank list was passed tot he fuction return 0 as the product
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//If a blank list was passed tot he fuction return 0 as the product
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if(nums.size() == 0){
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if(nums.size() == 0){
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return 0L;
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return 0L;
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}
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}
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//Setup the variables
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//Setup the variables
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Long product = 1L; //Start at 1 because x * 1 = x
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long product = 1L; //Start at 1 because x * 1 = x
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//Loop through every element in the list and multiply them together
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//Loop through every element in the list and multiply them together
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for(Long num : nums){
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for(long num : nums){
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product *= num;
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product *= num;
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}
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}
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@@ -810,7 +808,7 @@ public class Algorithms{
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public static ArrayList<String> getPermutations(String master){
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public static ArrayList<String> getPermutations(String master){
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return getPermutations(master, 0);
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return getPermutations(master, 0);
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}
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}
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private static ArrayList<String> getPermutations(String master, Integer num){
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private static ArrayList<String> getPermutations(String master, int num){
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ArrayList<String> perms = new ArrayList<String>();
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ArrayList<String> perms = new ArrayList<String>();
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//Check if the number is out of bounds
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//Check if the number is out of bounds
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if((num >= master.length()) || (num < 0)){
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if((num >= master.length()) || (num < 0)){
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@@ -827,7 +825,7 @@ public class Algorithms{
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perms.addAll(temp);
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perms.addAll(temp);
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//You need to swap the current letter with every possible letter after it
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//You need to swap the current letter with every possible letter after it
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//The ones needed to swap before will happen automatically when the function recurses
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//The ones needed to swap before will happen automatically when the function recurses
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for(Integer cnt = 1;(num + cnt) < master.length();++cnt){
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for(int cnt = 1;(num + cnt) < master.length();++cnt){
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master = swapString(master, num, (num + cnt));
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master = swapString(master, num, (num + cnt));
|
||||||
temp = getPermutations(master, num + 1);
|
temp = getPermutations(master, num + 1);
|
||||||
perms.addAll(temp);
|
perms.addAll(temp);
|
||||||
@@ -843,7 +841,7 @@ public class Algorithms{
|
|||||||
//Return the arraylist that was built
|
//Return the arraylist that was built
|
||||||
return perms;
|
return perms;
|
||||||
}
|
}
|
||||||
public static String swapString(String str, Integer first, Integer second){
|
public static String swapString(String str, int first, int second){
|
||||||
char[] tempStr = str.toCharArray();
|
char[] tempStr = str.toCharArray();
|
||||||
char temp = tempStr[first];
|
char temp = tempStr[first];
|
||||||
tempStr[first] = tempStr[second];
|
tempStr[first] = tempStr[second];
|
||||||
|
|||||||
Reference in New Issue
Block a user