I had a test exam in java, that almost no one have succeeded in this question and I can't figure out the solution.
The question was like this:
Find the sum of an integer last and first number. For example 1234-->5, 137-->8, 4-->8. You are only allowed to use recursion and no helper function"
I tried various things. Here is my last attempt:
public static int sumOfFirstandLastdigits(int number)
{
int lastdigit=sumOfFirstandLastdigits(number/10);
if(number/10==0)
{
return number%10;
}
return lastdigit+sumOfFirstandLastdigits(number%10);
}
Assuming the input is supposed to be non-negative:
//If n < 0, return first digit of -n
//Otherwise, return sum of first and last digits of n
int sumLastAndFirstDigit(int n) {
if (n < -9)
return sumLastAndFirstDigit(-(-n/10));
if (n <= 0)
return -n;
if (n < 10)
return n+n;
return n%10 + sumLastAndFirstDigit(-(n/10));
}
You can do this by overloading the method and passing the last digit as a second parameter to keep track of it through the recursion without changing the value (AKA Default Parameter):
public static void main(String[] args) {
System.out.println(sumDigits(3891901));
System.out.println(sumDigits(1234));
System.out.println(sumDigits(5678));
}
private static int sumDigits(int i) {
return sumDigits(i, i % 10);
}
private static int sumDigits(int i, int j) {
if (i / 10 == 0) {
return i % 10 + j;
}
return sumDigits(i / 10, j);
}
Output:
4
5
13
This thread on default parameters might help learn more as well.
Found a solution using String, not sure it's the best :
public int sumLastAndFirstDigit(Integer firstDigit, int number) {
String numberAsString = String.valueOf(number);
//Set the first digit
if(firstDigit == null) {
firstDigit = Integer.valueOf(numberAsString.substring(0,1));
//If there is only one digit in number for the first loop, then return 2 x firstDigit
if(numberAsString.length() == 1) {
return 2 * firstDigit;
}
}
//Remove the first digit to create the new number
String newNumberAsString = numberAsString.substring(1);
Integer newNumber = Integer.valueOf(newNumberAsString);
if(newNumberAsString.length() == 1) {
//When it's the last digit, sum first and last
return firstDigit + newNumber;
}
return sumLastAndFirstDigit(firstDigit, newNumber);
}
Then do :
sumLastAndFirstDigit(null,1234);
sumLastAndFirstDigit(null,137);
sumLastAndFirstDigit(null,4);
Use the sign as a flag to recognize the initial call. Only works with positive numbers, of course.
public static int sum(int value){
if(value > 0)
// initial call
return value % 10 + sum(-value);
else
// recursive call
return -value < 10 ? -value : sum(value / 10);
}
This are the 2 different solutions my professor suggested, although he said no helper (the first one is without an helper).
public static int sumFirstAndLast2(int num) {
if (num < 10 )
return num+num;
return sumFirstAndLast2(num/10) - num%100/10 + num%10;
}
public static int sumFirstAndLast(int num) {
if ( num < 10 )
return num+num;
return sumFirstAndLastHelper(num,true);
}
private static int sumFirstAndLastHelper(int num, boolean isLast) {
if ( isLast )
return num%10 + sumFirstAndLastHelper(num/10,false);
if ( num < 10 )
return num;
return sumFirstAndLastHelper(num/10,false);
}
Related
I'm learning Java, and I'm stuck on a recursion problem.
I need to use a recursive method to check if a number is an Armstrong number or not.
My code:
public class ArmstrongChecker {
public boolean isArmstrong(int number) {
// check if the number is a negative number
if (number < 0) {
return false;
}
ArmstrongChecker armstrongChecker = new ArmstrongChecker();
// find the length of the number
int length = armstrongChecker.lengthChecker(number);
// create a variable to store the sum of the digits of the number
int sum = 0;
// find the individual digits and raise to the power of the numbers of digits
if (number != 0) {
int digit = Math.floorMod(number, 10);
int powerRaised = (int) Math.pow(digit, length);
sum = sum + powerRaised;
isArmstrong(number / 10);
}
return sum == number;
}
// method to check the length of the number
public int lengthChecker(int number) {
int length = String.valueOf(number).length();
return length;
}
}
How do I prevent int length in isArmstrong() method from changing its value.
While you are not changing it's value in the posted code, you could mark that variable to be a constant. This way the compiler can error out if you tried to assign a new value.
final int length = armstrongChecker.lengthChecker(number);
As I've already said in the comments, your solution has the following issues:
The result of the recursive call isArmstrong() is being ignored;
There's no need for spawning new instances of ArmstrongChecker. And this method doesn't require object creation at all, it can be implemented as static.
Checking if the number is an Armstrong number boils down to calculating its Armstrong sum, the solution will be cleaner if you implement only this part using recursion.
It might look like this:
public static boolean isArmstrong(int number) {
if (number < 0) return false;
if (number < 10) return true;
return number == getArmstrongSum(number, String.valueOf(number).length());
}
public static int getArmstrongSum(int number, int power) {
if (number == 0) {
return 0;
}
return (int) Math.pow(number % 10, power) + getArmstrongSum(number / 10, power);
}
main()
public static void main(String[] args) {
System.out.println(isArmstrong(370)); // true
System.out.println(isArmstrong(12)); // false
System.out.println(isArmstrong(54)); // false
System.out.println(isArmstrong(153)); // true
}
Output:
true
false
false
true
You need to get the length once for whole recursion, so the cleanest approach would be to pass down both the number and the length into the recursion. An easy way to do this is to have one method that is the public face of the API, and another that does the recursion.
public class ArmstrongChecker {
public boolean isArmstrong(int number) {
if (number < 0) {
return false;
}
int length = lengthChecker(number);
int sum = armstrongSum(number, length);
return sum == number;
}
private int armstrongSum(int number, int length) {
int sum = 0;
if (number != 0) {
int digit = Math.floorMod(number, 10);
int powerRaised = (int) Math.pow(digit, length);
sum += powerRaised;
sum += armstrongSum(number / 10, length);
}
return sum;
}
public int lengthChecker(int number) {
int length = String.valueOf(number).length();
return length;
}
}
This is pretty common in recursion, where the parameters to the recursive part of the algorithm are a little different (usually there are more of them) than what you want a client of the API to have to pass in. The number changes in each recursive call, where number / 10 is passed down, but the same length is passed all the way through.
Notice that the recursive armstrongSum uses the return value from the recursive call, and that there is no need to create another instance of ArmstrongChecker when you are already in an instance method of the class.
public class NumberPalindrome {
public static boolean isPalindrome(int number) {
int reverse = 0;
if (number<0){
number=number* -1;
}
while (number > 0) {
int lastDig = number % 10;
reverse = lastDig + reverse;
if (number<10) {break;}
reverse = reverse * 10 ;
number/=10;
}
if (number==reverse) {
return true;
}
return false;
}
}
why does my code not return true when I enter a palindrome number? I tried using it to print out the reverse value and it does it quite well, but just does not seem to get the boolean value straight though.
The problem was modifying the number variable, but then comparing it with the new generated reverse variable as if it was never edited.
Also, you were adding the last digit to the reverse variable before multiplying it by ten.
See the following code in Java:
public static boolean isPalindrome(int number) {
int reverse = 0;
if(number < 0) {
number *= -1;
}
int initialNumber = number;
while(number > 0) {
int lastDigit = number % 10;
reverse = (reverse * 10) + lastDigit;
if(number < 10) {
break;
}
number /= 10;
}
return initialNumber == reverse;
}
There are a few problems here. You need to save the original number for comparison with the the reversed number. The break statement confuses the logic.
To figure this out, I added some print statements to trace the progress. Adding print statements isn't elegant, but it is very useful.
Here is my version, with comments indicating what I changed.
public static boolean isPalindrome (int original)
{
// Need to save the original number for comparison
int number = original;
int reverse = 0;
if (number < 0)
{
number = number * -1;
}
while (number > 0)
{
int lastDig = number % 10;
// Update and shift reverse in one step
reverse = lastDig + reverse * 10;
number /= 10;
// Don't need extra break to terminate the loop
System.out.printf ("Check %d ; Reverse %d%n", number, reverse);
}
System.out.printf ("Final %d ; Reverse %d%n", number, reverse);
// Compare to original and return boolean value directly
return (original == reverse);
}
Using recursion, If n is 123, the code should return 4 (i.e. 1+3). But instead it is returning the last digit, in this case 3.
public static int sumOfOddDigits(NaturalNumber n) {
int ans = 0;
if (!n.isZero()) {
int r = n.divideBy10();
sumOfOddDigits(n);
if (r % 2 != 0) {
ans = ans + r;
}
n.multiplyBy10(r);
}
return ans;
}
It isn't clear what NaturalNumber is or why you would prefer it to int, but your algorithm is easy enough to follow with int (and off). First, you want the remainder (or modulus) of division by 10. That is the far right digit. Determine if it is odd. If it is add it to the answer, and then when you recurse divide by 10 and make sure to add the result to the answer. Like,
public static int sumOfOddDigits(int n) {
int ans = 0;
if (n != 0) {
int r = n % 10;
if (r % 2 != 0) {
ans += r;
}
ans += sumOfOddDigits(n / 10);
}
return ans;
}
One problem is that you’re calling multiplyBy on n and not doing anything with the result. NaturalNumber seems likely to be immutable, so the method call has no effect.
But using recursion lets you write declarative code, this kind of imperative logic isn’t needed. instead of mutating local variables you can use the argument list to hold the values to be used in the next iteration:
public static int sumOfOddDigits(final int n) {
return sumOfOddDigits(n, 0);
}
// overload to pass in running total as an argument
public static int sumOfOddDigits(final int n, final int total) {
// base case: no digits left
if (n == 0)
return total;
// n is even: check other digits of n
if (n % 2 == 0)
return sumOfOddDigits(n / 10, total);
// n is odd: add last digit to total,
// then check other digits of n
return sumOfOddDigits(n / 10, n % 10 + total);
}
I need to write a method that receives a number, and for any even digits in it, replaces them with the 0 digit.
I think I'm going in the right direction, but when I run it with the debugger, I seen the even numbers don't return to 0 in even digit.
This is what I have so far.
I know my English is poor, so here's an example example.
For the number 12345, the method should return 10305
For the number 332, the method should return 330.
I hope that's understandable. Here's my code:
public class Assignment1 {
public static void main(String[] args) {
System.out.println(Even(12345));
}
private static int Even(int n) {
if (n == 0 ) {
return 0 ;
}
if (n % 2 == 0) { // if its even
n= n/10*10; // we cut the right digit from even number to 0
return (n/10 %10 ) + Even(n/10)*0;
}
return Even(n/10)*10 +n;
}
}
Your base case is only checking if the number is zero. Check this solution, and let me know if you have doubts!
public int evenToZero(int number){
//Base case: Only one digit
if(number % 10 == number){
if(number % 2 == 0){
return 0;
}
else{
return number
}
}
else{ //Recursive case: Number of two or more digits
//Get last digit
int lastDigit = number % 10;
//Check if it is even, and change it to zero
if(lastDigit % 2 == 0){
lastDigit = 0;
}
//Recursive call
return evenToZero(number/10)*10 + lastDigit
}
}
Below is a recursive method that will do what you need. Using strings will be easier because it allows you to 'add' the number digit by digit. That way, using 332 as example, 3+3+0 becomes 330, and not 6.
Every run through, it cuts of the digit furthest right so 332 becomes 33, then 3, and then 0.
public static void main(String[] args) {
System.out.println(Even(12345));
}
private static String Even(int n) {
if(n==0)
return "";
else if(n%2==0){
return Even(n/10) + "0";
}
else{
String s = Integer.toString(n%10);
return Even(n/10) + s;
}
}
I need to write a boolean method called hasEight(), which takes an int as input and returns true if the number contains the digit 8 (e.g., 18, 808).
I don't want to use the "String conversion method".
I've tried the below code, but that only checks for the last digit.
import java.util.Scanner;
public class Verificare {
public static boolean hasEight(int numarVerificat) {
int rest = numarVerificat % 10;
return rest == 8;
}
public static void main(String[] args) {
Scanner keyboard = new Scanner(System.in);
System.out.print("Introduceti numarul pentru verificare: ");
int numar = keyboard.nextInt();
Verificare.hasEight(numar);
System.out.println("Afirmatia este: " + Verificare.hasEight(numar));
keyboard.close();
}
}
If you don't want to use string conversion methods then i think this method can be used.
public bool hasEight(int number)
{
while(number > 0)
{
if(number % 10 == 8)
return true;
number=number/10;
}
return false;
}
Use the below function.
boolean hasEight(int num) {
int rem;
while (num > 0) {
rem = num % 10;
if (rem == 8)
return true;
num = num / 10;
}
return false;
}
In every iteration of the loop, last digit of the number is retrieved (remainder when divided by 10). If it is 8, true is returned. Else, number is divided by 10 (integer division so that last digit is removed) and another iteration is started. When all digits are checked (8 or not), number becomes 0 and loop stops.
public static boolean hasEight(int numarVerificat)
{
while(numarVerificat > 0)
{
if(numarVerificat % 10 == 8)
break;
numarVerificat=numarVerificat/10;
}
return (numarVerificat>0);
}