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Write a program that will calculate the number of trailing zeros in a factorial of a given number. N! = 1 * 2 * 3 * ... * N

This is my code for the Codewars problem (Java) yet I cannot make it work. I'm pretty sure I've made a stupid mistake somewhere because of my lack of experience (coding for 4 months)
public static int zeros(int n) {
int f = 1;
int zerocount = 0;
for(int i = 2 ; i <= n; i++){
f *= i;
}
String factorial = String.valueOf(f);
String split [] = factorial.split("");
for(int i = 0; i < split.length; i++){
String m = split[i];
if(m.equals( "0")){
zerocount ++;
}
else {
zerocount = 0;
}
}
return zerocount;
}
}

In fact, you do not need to calculate the factorial because it will rapidly explode into a huge number that will overflow even a long. What you want to do is count the number of fives and twos by which each number between 2 and n can be divided.
static int powersoffive(int n) {
int p=0;
while (n % 5 == 0) {
p++;
n /= 5;
}
return p;
}
static int countzeros(int n) {
int fives = 0;
for (int i = 1; i <= n; i++)
fives += powersoffive(i);
return fives;
}
Note: Lajos Arpad's solution is superior.

As pointed out by other users your solution will probably not be accepted because of the exploding factorial you are calculating.
About the code you wrote there are two mistakes you have made:
You are calculating the factorial in the wrong way. You should start with i = 2 in the loop
for(int i = 2; i <= n; i++){
f *= i;
}
Also in Java you cannot compare strings using ==. This is not valid
if(m == "0")
You should compare them like this
if(m.equals("0"))
Anyway this is how I would have resolved the problem
public static int zeros(int n) {
int zerocount = 0;
for (int i = 5; n / i > 0; i *= 5) {
zerocount += n / i;
}
return zerocount;
}

A zero in a base-10 representation of a number is a 2*5. In order to determine the number of trailing zeroes you will need to determine how many times can you divide your number with ten, or, in other words, the minimum of the sum of 2 and 5 factors. Due to the fact that 5 is bigger than 2 and we go sequentially, the number of fives will be the number of trailing zeroes.
A naive approach would be to round down n/5, but that will only give you the number of items divisible with 5. However, for example, 25 is divisible by 5 twice. The same can be said about 50. 125 can be divided by 5 three times, no less.
So, the algorithm would look like this:
int items = 0;
int power = 5;
while (power < n) {
items += (int) (n / power);
power *= 5;
}
Here small numbers are in use in relative terms, but it's only a proof of concept.

You do need to use brute force here and you integers will overflow anyway.
With multiplication trailing zero appears only as the result of 2*5.
Now imagine the factorial represented by a product of it's prime factors.
Notice that for every 5 (five) we will always have 2 (two).
So to calculate the number of zeroes we need to calculate the number of fives.
That can be implemented by continuously dividing N by five and totaling results
In Java code that will be something like this:
static int calculate(int n)
{
int result = 0;
while (n > 0 ) {
n /= 5;
result += n;
}
return result;
}

How to add together an array representation of an integer with different number of digits?

How would I add together two integers with different number of digits, using an array, without causing an out of bounds exception?
For example: 500 + 99
each digit is an element of the array
This is how I'm doing it right now:
int aIILength = infiniteInteger.length-1;
int bIILength = anInfiniteInteger.infiniteInteger.length-1;
for(int f = aIILength; f >0; f--){
int aTempNum = infiniteInteger[f];
int bTempNum = anInfiniteInteger.infiniteInteger[f];
result = aTempNum + bTempNum;
//array representation of sum
tempArray[f] = result;
}

Let the counter in the loop go from 1 and up, and use it to access the digits from the end of each array.
You need a carry to hold the overflow of adding each set of digits.
Loop until you run out of digits in both arrays, and carry is zero.
Check the range when you access the digits from the arrays, and use zero when you run out of digits.
int aIILength = infiniteInteger.length;
int bIILength = anInfiniteInteger.infiniteInteger.length;
int carry = 0;
for(int f = 1; f <= aIILength || f <= bIILength || carry > 0; f++){
int aTempNum;
if (f <= aIILength) {
aTempNum = infiniteInteger[aIILength - f];
} else {
aTempNum = 0;
}
int bTempNum;
if (f <= bIILength) {
bTempNum = anInfiniteInteger.infiniteInteger[bIILength - f];
} else {
bTempNum = 0;
}
result = aTempNum + bTempNum + carry;
tempArray[tempArray.length - f] = result % 10;
carry = result / 10;
}
Note: Make tempArray longer than both the operand arrays, so that it has place for a potential carry to the next digit.

Reversing an integer in Java using a for loop

This is a homework problem
How would I reverse an integer in Java with a for loop? The user will input the integer (I don't know how long it will be) and I need to reverse it. ie: If they enter 12345, my program returns 54321.
Here's the catch, you can't use String, StringBuffer, arrays, or other advanced structures in this problem.
I have a basic idea of what I need to do. My problem is...in the for loop, wouldn't the condition need to be x < the length of the integer (number of digits)? How would I do that without String?
Thanks for any input, and I'll add more information if requested.
EDIT:
Of course, after introspection, I realized I should use another for loop to do this. What I did was create a for loop that will count the digits by dividing by 10:
int input = scan.nextInt();
int n = input;
int a = 0;
for (int x = 0; n > 0; x++){
n = n/10;
a = a + 1;
}
EDIT 2:
This is what I have
int input = scan.nextInt();
int n = input;
int a = 0;
int r = 0;
for (int x = 0; n > 0; x++){
n = n/10;
a = a + 1;
}
for (int y = 0; y < n; y++) {
r = r + input%10;
input = input/10;
}
System.out.println(input);
When I run it, it isn't reversing it, it's only giving me back the numbers. ie: if I put in 1234, it returns 1234. This doesn't make any sense to me, because I'm adding the last digit to of the input to r, so why wouldn't it be 4321?

While your original number is nonzero, take your result, multiply it by 10, and add the remainder from dividing the original by 10.
For example, say your original number is 12345. Start with a result of 0.
Multiply result by 10 and add 5, giving you 5. (original is now 1234.)
Multiply result by 10 and add 4, giving you 54. (original is now 123.)
Multiply result by 10 and add 3, giving you 543. (original = 12.)
Multiply result blah blah 5432. (original = 1.)
Multiply, add, bam. 54321. And 1 / 10, in int math, is zero. We're done.
Your mission, should you choose to accept it, is to implement this in Java. :) (Hint: division and remainder are separate operations in Java. % is the remainder operator, and / is the division operator. Take the remainder separately, then divide the original by 10.)

You will need to use math to access each of the digits. Here's a few hints to get your started:
Use the % mod operator to extract the last digit of the number.
Use the / division operator to remove the last digit of the number.
Stop your loop when you have no more digits in the number.

This might not be the proper way but
public static int reverseMe(int i){
int output;
String ri = i + "";
char[] inputArray = ri.toCharArray();
char[] outputArray = new char[inputArray.length];
for(int m=0;m<inputArray.length;m++){
outputArray[inputArray.length-m-1]=inputArray[m];
}
String result = new String(outputArray);
output = Integer.parseInt(result);
return output;
}

public static void reverse2(int n){
int a;
for(int i = 0; i < n ; i ++){
a = n % 10;
System.out.print(a);
n = n / 10;
if( n < 10){
System.out.print(n);
n = 0;
}
}
}

here is the Answer With Correction of Your Code.
import static java.lang.Math.pow;
import java.util.*;
public class MyClass {
public static void main(String args[]) {
Scanner scan=new Scanner(System.in);
int input = scan.nextInt();
int n = input;
int a = 0;
int r = 0;
for (; n > 0;){
n = n/10;
a = a + 1;
}
for (int y = 0; y < input;a--) {
r =(int)( r + input%10*pow(10,a-1));
input = input/10;
}
System.out.println(r);
}
}

How can I get max number that consists of some digits of an integer number

I have a number. This number has many digits. I want to write a function which returns the largest number that consists of some digits of that number. While getting that largest number, the sequence of the digits should not change.
int myFunction(int n, int cat){
...
return max;
}
If n = 38462637 and cat = 3 the function has to return 86637, i.e. if cat = 3 the function is expected to return 5-digit number, as 8 - 3 = 5. The original number has many variations of 5 digits numbers, but the largest possible number is 86637. In this case, the most important requirement is that the digits should not change their place.

Be greedy - select the largest digit that can be leftmost in the answer(if there are several positions where this digit appears, choose its leftmost occurance). A digit may be leftmost if it is not 0 and we have at least n - cat - 1 digits to the right of it.
After that use the same algorithm to create the largest number on the right of the position of this digit that has exactly n - cat - 1 digits. Continue iterating until you have your number composed. Only note that the digits you select after the first iteration may be zero(as they will no longer be leftmost in the resulting number)
EDIT: best solution that uses the algorithm described above - use range minimum query to compute the highest value that is possible for each consecutive digit position. In theory this can be done in constant time per query and linear extra memory using linear precomputation, but the algorithm is so complex and hard to implement that it will only give you improvement for really big values of n. I personally suggest using a segment tree approach that will result in O(n*log(n)) time complexity.

This is probably a bit overcomplicated, but it seems to work:
public static int myFunction(int n, int cat) {
String numString = String.valueOf(n);
int finalLength = numString.length() - cat;
int[] positions = new int[finalLength];
StringBuilder answer = new StringBuilder();
for (int i = 0; i < finalLength; i++) {
for (int j = (i == 0 ? i : positions[i - 1] + 1); j <= numString.length() - finalLength + i; j++) {
if (positions[i] == 0 || numString.charAt(j) > numString.charAt(positions[i]) ) {
positions[i] = j;
}
}
answer.append(numString.charAt(positions[i]));
}
return Integer.parseInt(answer.toString());
}
[EDIT]: A cleaner version without all the String nonsense:
public static int myFunction(int n, int cat) {
List<Integer> digits = new ArrayList<Integer>();
int number = n;
while (number > 0) {
digits.add(number % 10);
number /= 10;
}
int finalLength = digits.size() - cat;
int lastIndex = digits.size();
int answer = 0;
for (int i = 0; i < finalLength; i++) {
int highestDigit = -1;
for (int j = lastIndex - 1; j >= finalLength - i - 1; j--) {
if (digits.get(j) > highestDigit) {
highestDigit = digits.get(j);
lastIndex = j;
}
}
answer = answer * 10 + highestDigit;
}
return answer;
}

If you have access to the code, store the number as a string with a seperator (space, comma, etc) in it, then use the string separator function to put each number (string character) into it's own array location. Parse the string array and make an integer array. Then run a quick sort on the array. When that is done, take the first X number of integers and that is your number.

Iterate through each digit in a number

I am trying to create a program that will tell if a number given to it is a "Happy Number" or not. Finding a happy number requires each digit in the number to be squared, and the result of each digit's square to be added together.
In Python, you could use something like this:
SQUARE[d] for d in str(n)
But I can't find how to iterate through each digit in a number in Java. As you can tell, I am new to it, and can't find an answer in the Java docs.

You can use a modulo 10 operation to get the rightmost number and then divide the number by 10 to get the next number.
long addSquaresOfDigits(int number) {
long result = 0;
int tmp = 0;
while(number > 0) {
tmp = number % 10;
result += tmp * tmp;
number /= 10;
}
return result;
}
You could also put it in a string and turn that into a char array and iterate through it doing something like Math.pow(charArray[i] - '0', 2.0);

Assuming the number is an integer to begin with:
int num = 56;
String strNum = "" + num;
int strLength = strNum.length();
int sum = 0;
for (int i = 0; i < strLength; ++i) {
int digit = Integer.parseInt(strNum.charAt(i));
sum += (digit * digit);
}

I wondered which method would be quickest to split up a positive number into its digits in Java, String vs modulo
public static ArrayList<Integer> splitViaString(long number) {
ArrayList<Integer> result = new ArrayList<>();
String s = Long.toString(number);
for (int i = 0; i < s.length(); i++) {
result.add(s.charAt(i) - '0');
}
return result; // MSD at start of list
}
vs
public static ArrayList<Integer> splitViaModulo(long number) {
ArrayList<Integer> result = new ArrayList<>();
while (number > 0) {
int digit = (int) (number % 10);
result.add(digit);
number /= 10;
}
return result; // LSD at start of list
}
Testing each method by passing Long.MAX_VALUE 10,000,000 times, the string version took 2.090 seconds and the modulo version 2.334 seconds. (Oracle Java 8 on 64bit Ubuntu running in Eclipse Neon)
So not a lot in it really, but I was a bit surprised that String was faster

In the above example we can use:
int digit = Character.getNumericValue(strNum.charAt(i));
instead of
int digit = Integer.parseInt(strNum.charAt(i));

You can turn the integer into a string and iterate through each char in the string. As you do that turn that char into an integer

This code returns the first number (after 1) that fits your description.
public static void main(String[] args) {
int i=2;
// starting the search at 2, since 1 is also a happy number
while(true) {
int sum=0;
for(char ch:(i+"").toCharArray()) { // casting to string and looping through the characters.
int j=Character.getNumericValue(ch);
// getting the numeric value of the current char.
sum+=Math.pow(j, j);
// adding the current digit raised to the power of itself to the sum.
}
if(sum==i) {
// if the sum is equal to the initial number
// we have found a number that fits and exit.
System.out.println("found: "+i);
break;
}
// otherwise we keep on searching
i++;
}
}