I'm new to Java, so still trying to figure out the syntax and code execution,
I'm working on a very simple algorithm which is basically to return/print true or false statement if a number is divisible by the sum of its digits.
public class Main {
public static void main(String[] args) {
divisableNumber();
}
static void divisableNumber() {
int num = 2250;
int sumOfDigits = 0;
while (num > 0) {
System.out.println(num);
int remainder = num %10 ;
sumOfDigits += remainder;
System.out.println("line17");
System.out.println(sumOfDigits);
num = num /10;
}
System.out.println(num);
// if(num % sumOfDigits == 0) {
// System.out.println( num);
// } else {
// System.out.println(num + "is not divisable by sum of digits");
// }
}
//*****Explanation*********
// java divides by 10 without remainder.
// Hence, can see that with each iteration number is losing its unit digit( it happens end of each loop line21)
// basically with each iteration we are checking what is the remainder of the input divided by 10
// Eventually, we are adding the remainder ( which is the unit digit at each iteration)
}
``
I don't understand why the loop zeros out the variable and how to overcome it ( i could have written another variable inside the loop , but it seems not clean ).
Can anyone help ?
[enter image description here][1]
[1]: https://i.stack.imgur.com/rZbOW.png
Your code prints 0 every time since it divides the number to 10 until it becomes 0 inside the while loop. Remember that any positive number below 10 divided by 10 gives the result 0 in Java.
You calculated the sum of digits correctly but did not check if it divides the number correctly. In order to achieve that, you need to store a copy of number at the start and check if it is divisible by sumOfDigits.
You can achieve the solution with the following code, it is very similar but structured a little better.
class Main
{
// Function to check if the
// given number is divisible
// by sum of its digits
static String divisableNumber(long n)
{
long temp = n; // store a copy of number
// Find sum of digits
int sum = 0;
while (n != 0)
{
int k = (int) n % 10; // get remainder of division of 10
sum += k; // add digit sum
n /= 10; // divide number by 10
}
// check if sum of digits divides n
if (temp % sum == 0)
return "YES";
return "NO";
}
// This is where the execution begins always (main function)
public static void main(String []args)
{
long n = 123; // better to declare number here and give it as a parameter to function
System.out.println(isDivisible(n)); // print the result of divisible or not
}
}
I tried to write a method (for kicks) that would sum up the digits at even places using Java recursion.
For example, the number 23495 would return 3+9 = 12.
I am unsuccessful and would appreciate hints or what I'm doing wrong.
int sumEven = 0;
int sumOdd = 0;
int i = 1;
if (n == 0)
return sumEven;
if (n != 0) {
if (i % 2 == 0)
{
i++;
sumEven += n % 10;
}
else
{
i++;
sumOdd += n % 10;
}
}
return sumEven + getEven (n/=10);
The problem is you're trying to do too much - take a look at my comment on the Q
A recursive method needs an input that contains everything it needs to work with, a return value, and an execution path where it calls itself until something happens that means it doesn't need to call itself any more - without this bit it will recourse until it overflows the stack
int sumEveryOtherDigit(int input){
if(input >= 100)
return input%10 + sumEveryOtherDigit(input/100);
else
return input%10;
}
This takes the input , and if there is any point to running again (if the input is at least 100) takes the rightmost digit plus running itself again with a smaller number
Eventually the number gets so small that there isn't any point running itself again so it just returns without running itself again and that is how the recursion stops
Now from your comment on another answer it seems you want to determine even and odd as working from the left so we need to either start with the number (1630) or the number divided by ten (23495 -> 2349) - basically to start the recursion going we always want to pass in a number with an even number of digits
int num = 23495;
int numOfDigits = (int)Math.log10(num)+ 1;
if(numOfDigits%2==0)
result = sumEveryOtherDigit(num);
else
result = sumEveryOtherDigit(num/10);
You should iterate over the digits of the input number, and then sum the remainder mod 10 only for even position digits:
int input = 23495;
input /= 10;
int sum = 0;
while (input > 0) {
sum += input % 10; // add last even digit
input /= 100; // advance by two digits, to the next even digit
}
System.out.println("sum of even digits of input is: " + sum);
This prints:
sum of even digits of input is: 12
Okay so my question is how can I display odd and even digits of a single int input not the whole input. This while using "for" or "while" loop and the % modulator. For example, the program ask a user to enter a positive integer and then it would read each digit and list even and odd digits. I was unable to find a method that reads each character except for the .charAt() but I cant make it work. This is my fail attempt. NOTE: I can't use the % modulator because idk any method to read each digit for an int. Please help, thanks.
String = userEntry
int r = userEntry.length() - 1;
System.out.print("The even numbers are ");
int c = 0; // 0 would count as even.
int size = 0;
while (size < r && c < 9)
{
if (c == userEntry.charAt(size))
{
outputFile.print(" " + userEntry.charAt(size));
System.out.print(" " + userEntry.charAt(size));
size++;
}
else
{
c+=2;
}
For that you can use the modulo operator.
public class Main {
/** http://stackoverflow.com/q/36053971/6077352 */
public static void main(String[] args) {
int input = 123456789;
while (input > 0) {
if (input % 2 == 0) {
System.out.println(input % 10 + " is even");
} else {
System.out.println(input % 10 + " is odd");
}
input = input / 10;
}
}
}
Example output:
9 is odd
8 is even
7 is odd
6 is even
5 is odd
4 is even
3 is odd
2 is even
1 is odd
An if statement would do the job of deciding whether the number is odd or even. As for the for statement, in order to run it through the whole array you would use code like this:
for(*variable* = 0; *variable* < userEntry.length; *variable*++)
{
}
The mod operator gives you the remainder of doing division on an int.
So any number mod 10 will return the last digit because the remainder of dividing a digit less than 10 is the number itself. So 30%10=0 and 32%10=2. So you can use the mod to separate the digits.
And then for each digit you want to check if if it is even or odd. even numbers are divisible by 2 so number%2 should leave no remainder.
You then have to divide your number by 10 to do the same for the tens column and then again for the hundreds column and so on. This should work for you.
while (number>0) {
if ((number%10)%2==0) {
System.out.println(number % 10 + "even");
}
else {
System.out.println(number % 10+ "odd");
}
number = number / 10;
}
Hello i need to build a recursion that replace the even digits with zero:
for exmaple - the number 1254 will be 1050
the number 332- will be 330
and the number 24 - will be 0
i started working on it but got pretty clueless after a while
public static int replaceEvenDigitsWithZero(int number){
if(number<1)
return number;
if(number%2==0 && number%10!=0){
int temp=number%10;
return(number/10+replaceEvenDigitsWithZero(number-temp));
}
return(replaceEvenDigitsWithZero(number/10));
}
public static void main(String[] args) {
int num1 = 1254;
System.out.println(num1 + " --> " + replaceEvenDigitsWithZero(num1));
int num2 = 332;
System.out.println(num2 + " --> " + replaceEvenDigitsWithZero(num2));
int num3 = 24;
System.out.println(num3 + " --> " + replaceEvenDigitsWithZero(num3));
int num4 = 13;
System.out.println(num4 + " --> " + replaceEvenDigitsWithZero(num4));
}
}
Since your method only looks at the last digit, it should always call itself with input / 10 when input >= 10.
You then take the value returned by the recursion, multiply it by 10 and add the last digit back, if odd.
public static int replaceEvenDigitsWithZero(int number) {
int result = 0;
if (number >= 10)
result = replaceEvenDigitsWithZero(number / 10) * 10;
if (number % 2 != 0)
result += number % 10;
return result;
}
In case you need a 1-liner, here it goes: ;)
public static int replaceEvenDigitsWithZero(int number) {
return (number%2 == 0 ? 0 : number % 10) + (number<10 ? 0 : 10 * replaceEvenDigitsWithZero(number / 10));
}
Well ... designing a recursive algorithm has always the same steps:
Identify the base case, that is the scenario that will terminate the recursive calls.
Reduce the problem to being smaller (towards the base case).
For this requirement the problem can easily be made smaller by dividing by 10. That also easily leads to the base case: A single digit is the base case. So a quick implementation can be:
public static int replaceEvenDigitsWithZero(int number) {
// I added handling of negative numbers ...
if (number < 0) {
return -replaceEvenDigitsWithZero(-number);
}
// base case
if (number < 10) {
return replaceOneDigit(number);
}
// recursion
int lastDigit = number % 10;
int remainder = number / 10;
return replaceEvenDigitsWithZero(remainder) * 10 + replaceOneDigit(lastDigit);
}
public static int replaceOneDigit(int digit) {
return (digit % 2 == 0) ? 0 : digit;
}
I added a helper method for converting even digits to zero.
The output now is:
1254 --> 1050
332 --> 330
24 --> 0
13 --> 13
You need to take track of the current position in your number.
In your current function, you will return only the first digit of your number (because you divide it by 10 everytime the recursion is called).
public static int replaceEvenDigitsWithZero(int number, int position){
// cancel condition:
if(number < 10 * position) {
return number;
}
// edit number:
if (position > 0) {
int currentNumber = number / (10 * position);
} else {
currentNumber = number;
}
if(currentNumber%2==0){ //even?
int multiplyValue = currentNumber % 10; // get rest of division by 10 (== digit in current position)
number = number - (multiplyValue * (10 * position)); // set current position to zero
}
// recursive call:
return replaceEvenDigitsWithZero(number,position+1);
}
Didn't test my code, but I hope you get an idea of how to do it.
Use replaceEvenDigitsWithZero(num1,0) to start.
1 convert to String
2 F(string): take the first number: replace 2,4,6,8 characters by 0
3 concatenate to F(the remaining string)
4 convert to int
I am working on a prime factorization program implemented in Java.
The goal is to find the largest prime factor of 600851475143 (Project Euler problem 3).
I think I have most of it done, but I am getting a few errors.
Also my logic seems to be off, in particular the method that I have set up for checking to see if a number is prime.
public class PrimeFactor {
public static void main(String[] args) {
int count = 0;
for (int i = 0; i < Math.sqrt(600851475143L); i++) {
if (Prime(i) && i % Math.sqrt(600851475143L) == 0) {
count = i;
System.out.println(count);
}
}
}
public static boolean Prime(int n) {
boolean isPrime = false;
// A number is prime iff it is divisible by 1 and itself only
if (n % n == 0 && n % 1 == 0) {
isPrime = true;
}
return isPrime;
}
}
Edit
public class PrimeFactor {
public static void main(String[] args) {
for (int i = 2; i <= 600851475143L; i++) {
if (isPrime(i) == true) {
System.out.println(i);
}
}
}
public static boolean isPrime(int number) {
if (number == 1) return false;
if (number == 2) return true;
if (number % 2 == 0) return false;
for (int i = 3; i <= number; i++) {
if (number % i == 0) return false;
}
return true;
}
}
Why make it so complicated? You don't need do anything like isPrime(). Divide it's least divisor(prime) and do the loop from this prime. Here is my simple code :
public class PrimeFactor {
public static int largestPrimeFactor(long number) {
int i;
for (i = 2; i <= number; i++) {
if (number % i == 0) {
number /= i;
i--;
}
}
return i;
}
/**
* #param args
*/
public static void main(String[] args) {
System.out.println(largestPrimeFactor(13195));
System.out.println(largestPrimeFactor(600851475143L));
}
}
edit: I hope this doesn't sound incredibly condescending as an answer. I just really wanted to illustrate that from the computer's point of view, you have to check all possible numbers that could be factors of X to make sure it's prime. Computers don't know that it's composite just by looking at it, so you have to iterate
Example: Is X a prime number?
For the case where X = 67:
How do you check this?
I divide it by 2... it has a remainder of 1 (this also tells us that 67 is an odd number)
I divide it by 3... it has a remainder of 1
I divide it by 4... it has a remainder of 3
I divide it by 5... it has a remainder of 2
I divide it by 6... it has a remainder of 1
In fact, you will only get a remainder of 0 if the number is not prime.
Do you have to check every single number less than X to make sure it's prime? Nope. Not anymore, thanks to math (!)
Let's look at a smaller number, like 16.
16 is not prime.
why? because
2*8 = 16
4*4 = 16
So 16 is divisible evenly by more than just 1 and itself. (Although "1" is technically not a prime number, but that's technicalities, and I digress)
So we divide 16 by 1... of course this works, this works for every number
Divide 16 by 2... we get a remainder of 0 (8*2)
Divide 16 by 3... we get a remainder of 1
Divide 16 by 4... we get a remainder of 0 (4*4)
Divide 16 by 5... we get a remainder of 1
Divide 16 by 6... we get a remainder of 4
Divide 16 by 7... we get a remainder of 2
Divide 16 by 8... we get a remainder of 0 (8*2)
We really only need one remainder of 0 to tell us it's composite (the opposite of "prime" is "composite").
Checking if 16 is divisible by 2 is the same thing as checking if it's divisible by 8, because 2 and 8 multiply to give you 16.
We only need to check a portion of the spectrum (from 2 up to the square-root of X) because the largest number that we can multiply is sqrt(X), otherwise we are using the smaller numbers to get redundant answers.
Is 17 prime?
17 % 2 = 1
17 % 3 = 2
17 % 4 = 1 <--| approximately the square root of 17 [4.123...]
17 % 5 = 2 <--|
17 % 6 = 5
17 % 7 = 3
The results after sqrt(X), like 17 % 7 and so on, are redundant because they must necessarily multiply with something smaller than the sqrt(X) to yield X.
That is,
A * B = X
if A and B are both greater than sqrt(X) then
A*B will yield a number that is greater than X.
Thus, one of either A or B must be smaller than sqrt(X), and it is redundant to check both of these values since you only need to know if one of them divides X evenly (the even division gives you the other value as an answer)
I hope that helps.
edit: There are more sophisticated methods of checking primality and Java has a built-in "this number is probably prime" or "this number is definitely composite" method in the BigInteger class as I recently learned via another SO answer :]
You need to do some research on algorithms for factorizing large numbers; this wikipedia page looks like a good place to start. In the first paragraph, it states:
When the numbers are very large, no efficient integer factorization algorithm is publicly known ...
but it does list a number of special and general purpose algorithms. You need to pick one that will work well enough to deal with 12 decimal digit numbers. These numbers are too large for the most naive approach to work, but small enough that (for example) an approach based on enumerating the prime numbers starting from 2 would work. (Hint - start with the Sieve of Erasthones)
Here is very elegant answer - which uses brute force (not some fancy algorithm) but in a smart way - by lowering the limit as we find primes and devide composite by those primes...
It also prints only the primes - and just the primes, and if one prime is more then once in the product - it will print it as many times as that prime is in the product.
public class Factorization {
public static void main(String[] args) {
long composite = 600851475143L;
int limit = (int)Math.sqrt(composite)+1;
for (int i=3; i<limit; i+=2)
{
if (composite%i==0)
{
System.out.println(i);
composite = composite/i;
limit = (int)Math.sqrt(composite)+1;
i-=2; //this is so it could check same prime again
}
}
System.out.println(composite);
}
}
You want to iterate from 2 -> n-1 and make sure that n % i != 0. That's the most naive way to check for primality. As explained above, this is very very slow if the number is large.
To find factors, you want something like:
long limit = sqrt(number);
for (long i=3; i<limit; i+=2)
if (number % i == 0)
print "factor = " , i;
In this case, the factors are all small enough (<7000) that finding them should take well under a second, even with naive code like this. Also note that this particular number has other, smaller, prime factors. For a brute force search like this, you can save a little work by dividing out the smaller factors as you find them, and then do a prime factorization of the smaller number that results. This has the advantage of only giving prime factors. Otherwise, you'll also get composite factors (e.g., this number has four prime factors, so the first method will print out not only the prime factors, but the products of various combinations of those prime factors).
If you want to optimize that a bit, you can use the sieve of Eratosthenes to find the prime numbers up to the square root, and then only attempt division by primes. In this case, the square root is ~775'000, and you only need one bit per number to signify whether it's prime. You also (normally) only want to store odd numbers (since you know immediately that all even numbers but two are composite), so you need ~775'000/2 bits = ~47 Kilobytes.
In this case, that has little real payoff though -- even a completely naive algorithm will appear to produce results instantly.
I think you're confused because there is no iff [if-and-only-if] operator.
Going to the square root of the integer in question is a good shortcut. All that remains is checking if the number within that loop divides evenly. That's simply [big number] % i == 0. There is no reason for your Prime function.
Since you are looking for the largest divisor, another trick would be to start from the highest integer less than the square root and go i--.
Like others have said, ultimately, this is brutally slow.
private static boolean isPrime(int k) throws IllegalArgumentException
{
int j;
if (k < 2) throw new IllegalArgumentException("All prime numbers are greater than 1.");
else {
for (j = 2; j < k; j++) {
if (k % j == 0) return false;
}
}
return true;
}
public static void primeFactorsOf(int n) {
boolean found = false;
if (isPrime(n) == true) System.out.print(n + " ");
else {
int i = 2;
while (found == false) {
if ((n % i == 0) && (isPrime(i))) {
System.out.print(i + ", ");
found = true;
} else i++;
}
primeFactorsOf(n / i);
}
}
For those answers which use a method isPrime(int) : boolean, there is a faster algorithm than the one previously implemented (which is something like)
private static boolean isPrime(long n) { //when n >= 2
for (int k = 2; k < n; k++)
if (n % k == 0) return false;
return true;
}
and it is this:
private static boolean isPrime(long n) { //when n >= 2
if (n == 2 || n == 3) return true;
if (n % 2 == 0 || n % 3 == 0) return false;
for (int k = 1; k <= (Math.floor(Math.sqrt(n)) + 1) / 6; k++)
if (n % (6 * k + 1) == 0 || n % (6 * k - 1) == 0) return false;
return true;
}
I made this algorithm using two facts:
We only need to check for n % k == 0 up to k <= Math.sqrt(n). This is true because for anything higher, factors merely "flip" ex. consider the case n = 15, where 3 * 5 = 5 * 3, and 5 > Math.sqrt(15). There is no need for this overlap of checking both 15 % 3 == 0 and 15 % 5 == 0, when we could just check one of these expressions.
All primes (excluding 2 and 3) can be expressed in the form (6 * k) + 1 or (6 * k) - 1, because any positive integer can be expressed in the form (6 * k) + n, where n = -1, 0, 1, 2, 3, or 4 and k is an integer <= 0, and the cases where n = 0, 2, 3, and 4 are all reducible.
Therefore, n is prime if it is not divisible by 2, 3, or some integer of the form 6k ± 1 <= Math.sqrt(n). Hence the above algorithm.
--
Wikipedia article on testing for primality
--
Edit: Thought I might as well post my full solution (*I did not use isPrime(), and my solution is nearly identical to the top answer, but I thought I should answer the actual question):
public class Euler3 {
public static void main(String[] args) {
long[] nums = {13195, 600851475143L};
for (num : nums)
System.out.println("Largest prime factor of " + num + ": " + lpf(num));
}
private static lpf(long n) {
long largestPrimeFactor = 1;
long maxPossibleFactor = n / 2;
for (long i = 2; i <= maxPossibleFactor; i++)
if (n % i == 0) {
n /= i;
largestPrimeFactor = i;
i--;
}
return largestPrimeFactor;
}
}
To find all prime factorization
import java.math.BigInteger;
import java.util.Scanner;
public class BigIntegerTest {
public static void main(String[] args) {
BigInteger myBigInteger = new BigInteger("65328734260653234260");//653234254
BigInteger originalBigInteger;
BigInteger oneAddedOriginalBigInteger;
originalBigInteger=myBigInteger;
oneAddedOriginalBigInteger=originalBigInteger.add(BigInteger.ONE);
BigInteger index;
BigInteger countBig;
for (index=new BigInteger("2"); index.compareTo(myBigInteger.add(BigInteger.ONE)) <0; index = index.add(BigInteger.ONE)){
countBig=BigInteger.ZERO;
while(myBigInteger.remainder(index) == BigInteger.ZERO ){
myBigInteger=myBigInteger.divide(index);
countBig=countBig.add(BigInteger.ONE);
}
if(countBig.equals(BigInteger.ZERO)) continue;
System.out.println(index+ "**" + countBig);
}
System.out.println("Program is ended!");
}
}
I got a very similar problem for my programming class. In my class it had to calculate for an inputted number. I used a solution very similar to Stijak. I edited my code to do the number from this problem instead of using an input.
Some differences from Stijak's code are these:
I considered even numbers in my code.
My code only prints the largest prime factor, not all factors.
I don't recalculate the factorLimit until I have divided all instances of the current factor off.
I had all the variables declared as long because I wanted the flexibility of using it for very large values of number. I found the worst case scenario was a very large prime number like 9223372036854775783, or a very large number with a prime number square root like 9223371994482243049. The more factors a number has the faster the algorithm runs. Therefore, the best case scenario would be numbers like 4611686018427387904 (2^62) or 6917529027641081856 (3*2^61) because both have 62 factors.
public class LargestPrimeFactor
{
public static void main (String[] args){
long number=600851475143L, factoredNumber=number, factor, factorLimit, maxPrimeFactor;
while(factoredNumber%2==0)
factoredNumber/=2;
factorLimit=(long)Math.sqrt(factoredNumber);
for(factor=3;factor<=factorLimit;factor+=2){
if(factoredNumber%factor==0){
do factoredNumber/=factor;
while(factoredNumber%factor==0);
factorLimit=(long)Math.sqrt(factoredNumber);
}
}
if(factoredNumber==1)
if(factor==3)
maxPrimeFactor=2;
else
maxPrimeFactor=factor-2;
else
maxPrimeFactor=factoredNumber;
if(maxPrimeFactor==number)
System.out.println("Number is prime.");
else
System.out.println("The largest prime factor is "+maxPrimeFactor);
}
}
public class Prime
{
int i;
public Prime( )
{
i = 2;
}
public boolean isPrime( int test )
{
int k;
if( test < 2 )
return false;
else if( test == 2 )
return true;
else if( ( test > 2 ) && ( test % 2 == 0 ) )
return false;
else
{
for( k = 3; k < ( test/2 ); k += 2 )
{
if( test % k == 0 )
return false;
}
}
return true;
}
public void primeFactors( int factorize )
{
if( isPrime( factorize ) )
{
System.out.println( factorize );
i = 2;
}
else
{
if( isPrime( i ) && ( factorize % i == 0 ) )
{
System.out.print( i+", " );
primeFactors( factorize / i );
}
else
{
i++;
primeFactors( factorize );
}
}
public static void main( String[ ] args )
{
Prime p = new Prime( );
p.primeFactors( 649 );
p.primeFactors( 144 );
p.primeFactors( 1001 );
}
}