Replace all ‘0’ with ‘5’ in an input Integer

Given an integer as input and replace all the ‘0’ with ‘5’ in the integer. 

Examples:

Input: 102 
Output: 152
Explanation: All the digits which are '0' is replaced by '5' 

Input: 1020 
Output: 1525
Explanation: All the digits which are '0' is replaced by '5'

Use of array to store all digits is not allowed.

Iterative Approach-1: By observing the test cases it is evident that all the 0 digits are replaced by 5. For Example, for input = 1020, output = 1525. The idea is simple, we assign a variable ‘temp’ to 0, we get the last digit using mod operator ‘%’. If the digit is 0, we replace it with 5, otherwise, keep it as it is. Then we multiply the ‘temp’ with 10 and add the digit got by mod operation. After that, we divide the original number by 10 to get the other digits. In this way, we will have a number in which all the ‘0’s are assigned with ‘5’s. If we reverse this number, we will get the desired answer.

Algorithm:

1. if the number is 0, directly return 5.
2. else do the steps below.
3. Create a variable temp= 0 to store the reversed number having all ‘0’s assigned to ‘5’s.
4. Find the last digit using mod operator ‘%’. If the digit is ‘0’, then make the last digit as ‘5’.
5. Multiply temp with 10 and add the last digit.
6. Divide the number by 10 to get more digits by mod operation.
7. Then reverse this number.
8. return the reversed number.

Implementation:

C++

// C++ program to replace all ‘0’
// with ‘5’ in an input Integer
#include <iostream>
using namespace std;

// A iterative function to reverse a number
int reverseTheNumber(int temp)
{
    int ans = 0;
    while (temp > 0) {
        int rem = temp % 10;
        ans = ans * 10 + rem;
        temp = temp / 10;
    }
    return ans;
}

int convert0To5(int num)
{
    // if num is 0 return 5
    if (num == 0)
        return 5;

    // Extract the last digit and
    // change it if needed
    else {
        int temp = 0;

        while (num > 0) {
            int digit = num % 10;
            //if digit is 0, make it 5
            if (digit == 0)
                digit = 5;

            temp = temp * 10 + digit;
            num = num / 10;
        }
        // call the function reverseTheNumber by passing
        // temp
        return reverseTheNumber(temp);
    }
}

// Driver code
int main()
{
    int num = 10120;
    cout << convert0To5(num);
    return 0;
}

// This code is contributed by Vrashank Rao M.

Java

// Java program for the above approach
import java.io.*;

class GFG {

// A iterative function to reverse a number
static int reverseTheNumber(int temp)
{
    int ans = 0;
    while (temp > 0) {
        int rem = temp % 10;
        ans = ans * 10 + rem;
        temp = temp / 10;
    }
    return ans;
}

static int convert0To5(int num)
{
    // if num is 0 return 5
    if (num == 0)
        return 5;

    // Extract the last digit and
    // change it if needed
    else {
        int temp = 0;

        while (num > 0) {
            int digit = num % 10;

            //if digit is 0, make it 5
            if (digit == 0)
                digit = 5;

            temp = temp * 10 + digit;
            num = num / 10;
        }

        // call the function reverseTheNumber by passing
        // temp
        return reverseTheNumber(temp);
    }
}

    // Driver program
    public static void main(String args[])
    {
        int num = 10120;
        System.out.println(convert0To5(num));
    }
}

// This code is contributed by sanjoy_62.

Python3

# Python program for the above approach

# A iterative function to reverse a number
def reverseTheNumber(temp):
    ans = 0;
    while (temp > 0):
        rem = temp % 10;
        ans = ans * 10 + rem;
        temp = temp // 10;

    return ans;

def convert0To5(num):
    # if num is 0 return 5
    if (num == 0):
        return 5;

    # Extract the last digit and
    # change it if needed
    else:
        temp = 0;

        while (num > 0):
            digit = num % 10;

            # if digit is 0, make it 5
            if (digit == 0):
                digit = 5;

            temp = temp * 10 + digit;
            num = num // 10;

        # call the function reverseTheNumber by passing
        # temp
        return reverseTheNumber(temp);

# Driver program
if __name__ == '__main__':
    num = 10120;
    print(convert0To5(num));

# This code is contributed by umadevi9616

C#

// C# program for the above approach
using System;
public class GFG {

// A iterative function to reverse a number
static int reverseTheNumber(int temp)
{
    int ans = 0;
    while (temp > 0) {
        int rem = temp % 10;
        ans = ans * 10 + rem;
        temp = temp / 10;
    }
    return ans;
}

static int convert0To5(int num)
{
    // if num is 0 return 5
    if (num == 0)
        return 5;

    // Extract the last digit and
    // change it if needed
    else {
        int temp = 0;

        while (num > 0) {
            int digit = num % 10;
            //if digit is 0, make it 5
            if (digit == 0)
                digit = 5;

            temp = temp * 10 + digit;
            num = num / 10;
        }

        // call the function reverseTheNumber by passing
        // temp
        return reverseTheNumber(temp);
    }
}

    // Driver Code
    public static void Main (string[] args) {
        int num = 10120;
        Console.Write(convert0To5(num));

    }
}

// This code is contributed by splevel62.

Javascript

<script>
// javascript program for the above approach

    // A iterative function to reverse a number
    function reverseTheNumber(temp) {
        var ans = 0;
        while (temp > 0) {
            var rem = temp % 10;
            ans = ans * 10 + rem;
            temp = parseInt(temp / 10);
        }
        return ans;
    }

    function convert0To5(num)
    {

        // if num is 0 return 5
        if (num == 0)
            return 5;

        // Extract the last digit and
        // change it if needed
        else {
            var temp = 0;

            while (num > 0) {
                var digit = num % 10;

                // if digit is 0, make it 5
                if (digit == 0)
                    digit = 5;

                temp = temp * 10 + digit;
                num = parseInt(num / 10);
            }

            // call the function reverseTheNumber by passing
            // temp
            return reverseTheNumber(temp);
        }
    }

    // Driver program
        var num = 10120;
        document.write(convert0To5(num));

// This code is contributed by umadevi9616
</script>

Output

15125

Complexity Analysis:

• Time Complexity: O(n), where n is number of digits in the number.
• Space Complexity: O(1), no extra space is required.

Iterative Approach-2: By observing the test cases it is evident that all the 0 digits are replaced by 5. For Example, for input = 1020, output = 1525, which can be written as 1020 + 505, which can be further written as 1020 + 5*(10^2) + 5*(10^0). So the solution can be formed in an iterative way where if a ‘0’ digit is encountered find the place value of that digit and multiply it with 5 and find the sum for all 0’s in the number. Add that sum to the input number to find the output number.

Algorithm:

1. Create a variable sum = 0 to store the sum, place = 1 to store the place value of the current digit, and create a copy of the input variable
2. If the number is zero return 5
3. Iterate the next step while the input variable is greater than 0
4. Extract the last digit (n%10) and if the digit is zero, then update sum = sum + place*5, remove the last digit from the number n = n/10 and update place = place * 10
5. Return the sum.

Implementation:

C++

#include<bits/stdc++.h>
using namespace std;

// Returns the number to be added to the
// input to replace all zeroes with five
int calculateAddedValue(int number)
{

    // Amount to be added
    int result = 0;

    // Unit decimal place
    int decimalPlace = 1;

    if (number == 0)
    {
        result += (5 * decimalPlace);
    }

    while (number > 0)
    {
        if (number % 10 == 0)
        {

            // A number divisible by 10, then
            // this is a zero occurrence in
            // the input
            result += (5 * decimalPlace);

        }

        // Move one decimal place
        number /= 10;
        decimalPlace *= 10;
    }
    return result;
}

int replace0with5(int number)
{
    return number += calculateAddedValue(number);
}

// Driver code
int main()
{
    cout << replace0with5(1020);
}

// This code is contributed by avanitrachhadiya2155

Java

public class ReplaceDigits {
    static int replace0with5(int number)
    {
        return number += calculateAddedValue(number);
    }

    // returns the number to be added to the
    // input to replace all zeroes with five
    private static int calculateAddedValue(int number)
    {

        // amount to be added
        int result = 0;

        // unit decimal place
        int decimalPlace = 1;

        if (number == 0) {
            result += (5 * decimalPlace);
        }

        while (number > 0) {
            if (number % 10 == 0)
                // a number divisible by 10, then
                // this is a zero occurrence in the input
                result += (5 * decimalPlace);

            // move one decimal place
            number /= 10;
            decimalPlace *= 10;
        }
        return result;
    }

    public static void main(String[] args)
    {
        System.out.print(replace0with5(1020));
    }
}

Python3

def replace0with5(number):
    number += calculateAddedValue(number)
    return number

# returns the number to be added to the
# input to replace all zeroes with five
def calculateAddedValue(number):

    # amount to be added
    result = 0

    # unit decimal place
    decimalPlace = 1

    if (number == 0):
        result += (5 * decimalPlace)

    while (number > 0):
        if (number % 10 == 0):

            # a number divisible by 10, then
            # this is a zero occurrence in the input
            result += (5 * decimalPlace)

        # move one decimal place
        number //= 10
        decimalPlace *= 10

    return result

# Driver code
print(replace0with5(1020))

# This code is contributed by shubhmasingh10

C#

using System;

class GFG{

static int replace0with5(int number)
{
    return number += calculateAddedValue(number);
}

// Returns the number to be added to the
// input to replace all zeroes with five
static int calculateAddedValue(int number)
{

    // Amount to be added
    int result = 0;

    // Unit decimal place
    int decimalPlace = 1;

    if (number == 0)
    {
        result += (5 * decimalPlace);
    }

    while (number > 0)
    {
        if (number % 10 == 0)

            // A number divisible by 10, then
            // this is a zero occurrence in the input
            result += (5 * decimalPlace);

        // Move one decimal place
        number /= 10;
        decimalPlace *= 10;
    }
    return result;
}

// Driver Code
static public void Main()
{
    Console.WriteLine(replace0with5(1020));
}
}

// This code is contributed by rag2127

Javascript

<script>

// Returns the number to be added to the
// input to replace all zeroes with five
function calculateAddedValue(number){
    // Amount to be added
    let result = 0;
    // Unit decimal place
    let decimalPlace = 1;

    if (number == 0) {
        result += (5 * decimalPlace);
    }

    while (number > 0){
        if (number % 10 == 0){
            // A number divisible by 10, then
            // this is a zero occurrence in
            // the input
            result += (5 * decimalPlace);
        }
        // Move one decimal place
        number = Math.floor(number/10);
        decimalPlace *= 10;
    }
    return result;
}

function replace0with5(number){
    return number += calculateAddedValue(number);
}

// Driver code
document.write(replace0with5(1020));

</script>

Output

1525

Complexity Analysis:

• Time Complexity: O(k), the loops run only k times, where k is the number of digits of the number.
• Space Complexity: O(1), no extra space is required.

Recursive Approach: The idea is simple, we get the last digit using mod operator ‘%’. If the digit is 0, we replace it with 5, otherwise, keep it as it is. Then we recur for the remaining digits. The approach remains the same, the basic difference is the loop is replaced by a recursive function.

Algorithm:

1. Check a base case when the number is 0 return 5, for all other cases form a recursive function.
2. The function (solve(int n))can be defined as follows, if the number passed is 0 then return 0, else extract the last digit i.e. n = n/10 and remove the last digit. If the last digit is zero the assign 5 to it.
3. Now return the value by calling the recursive function for n, i.e return solve(n)*10 + digit.
4. Print the answer.

Implementation:

C++

// C++ program to replace all ‘0’
// with ‘5’ in an input Integer
#include <bits/stdc++.h>
using namespace std;

// A recursive function to replace all 0s
// with 5s in an input number It doesn't
// work if input number itself is 0.
int convert0To5Rec(int num)
{
    // Base case for recursion termination
    if (num == 0)
        return 0;

    // Extract the last digit and
    // change it if needed
    int digit = num % 10;
    if (digit == 0)
        digit = 5;

    // Convert remaining digits and
    // append the last digit
    return convert0To5Rec(num / 10) * 10 + digit;
}

// It handles 0 and calls convert0To5Rec()
// for other numbers
int convert0To5(int num)
{
    if (num == 0)
        return 5;
    else
        return convert0To5Rec(num);
}

// Driver code
int main()
{
    int num = 10120;
    cout << convert0To5(num);
    return 0;
}

// This code is contributed by Code_Mech.

C

// C program to replace all ‘0’
// with ‘5’ in an input Integer
#include <stdio.h>

// A recursive function to replace
// all 0s with 5s in an input number
// It doesn't work if input number itself is 0.
int convert0To5Rec(int num)
{
    // Base case for recursion termination
    if (num == 0)
        return 0;

    // Extract the last digit and change it if needed
    int digit = num % 10;
    if (digit == 0)
        digit = 5;

    // Convert remaining digits
    // and append the last digit
    return convert0To5Rec(num / 10) * 10 + digit;
}

// It handles 0 and calls
// convert0To5Rec() for other numbers
int convert0To5(int num)
{
    if (num == 0)
        return 5;
    else
        return convert0To5Rec(num);
}

// Driver program to test above function
int main()
{
    int num = 10120;
    printf("%d", convert0To5(num));
    return 0;
}

Java

// Java code for Replace all 0 with
// 5 in an input Integer
class GFG {

    // A recursive function to replace all 0s with 5s in
    // an input number. It doesn't work if input number
    // itself is 0.
    static int convert0To5Rec(int num)
    {
        // Base case
        if (num == 0)
            return 0;

        // Extract the last digit and change it if needed
        int digit = num % 10;
        if (digit == 0)
            digit = 5;

        // Convert remaining digits and append the
        // last digit
        return convert0To5Rec(num / 10) * 10 + digit;
    }

    // It handles 0 and calls convert0To5Rec() for
    // other numbers
    static int convert0To5(int num)
    {
        if (num == 0)
            return 5;
        else
            return convert0To5Rec(num);
    }

    // Driver function
    public static void main(String[] args)
    {
        System.out.println(convert0To5(10120));
    }
}

// This code is contributed by Kamal Rawal

Python3

# Python program to replace all
# 0 with 5 in given integer

# A recursive function to replace all 0s
# with 5s in an integer
# Does'nt work if the given number is 0 itself
def convert0to5rec(num):

    # Base case for recursion termination
    if num == 0:
        return 0

    # Extract the last digit and change it if needed
    digit = num % 10

    if digit == 0:
        digit = 5

    # Convert remaining digits and append the last digit
    return convert0to5rec(num // 10) * 10 + digit

# It handles 0 to 5 calls convert0to5rec()
# for other numbers
def convert0to5(num):
    if num == 0:
        return 5
    else:
        return convert0to5rec(num)


# Driver Program
num = 10120
print (convert0to5(num))

# Contributed by Harshit Agrawal

C#

// C# code for Replace all 0
// with 5 in an input Integer
using System;

class GFG {

    // A recursive function to replace
    // all 0s with 5s in an input number.
    // It doesn't work if input number
    // itself is 0.
    static int convert0To5Rec(int num)
    {
        // Base case
        if (num == 0)
            return 0;

        // Extract the last digit and
        // change it if needed
        int digit = num % 10;
        if (digit == 0)
            digit = 5;

        // Convert remaining digits
        // and append the last digit
        return convert0To5Rec(num / 10) * 10 + digit;
    }

    // It handles 0 and calls
    // convert0To5Rec() for other numbers
    static int convert0To5(int num)
    {
        if (num == 0)
            return 5;
        else
            return convert0To5Rec(num);
    }

    // Driver Code
    static public void Main()
    {
        Console.Write(convert0To5(10120));
    }
}

// This code is contributed by Raj

PHP

<?php
// PHP program to replace all 0 with 5
// in given integer

// A recursive function to replace all 0s
// with 5s in an integer. Does'nt work if
// the given number is 0 itself
function convert0to5rec($num)
{

    // Base case for recursion termination
    if ($num == 0)
        return 0;

    // Extract the last digit and
    // change it if needed
    $digit = ($num % 10);

    if ($digit == 0)
        $digit = 5;

    // Convert remaining digits and append
    // the last digit
    return convert0to5rec((int)($num / 10)) *
                                10 + $digit;
}

// It handles 0 to 5 calls convert0to5rec()
// for other numbers
function convert0to5($num)
{
    if ($num == 0)
        return 5;
    else
        return convert0to5rec($num);
}

// Driver Code
$num = 10120;
print(convert0to5($num));

// This code is contributed by mits
?>

Javascript

<script>
// javascript code for Replace all 0 with
// 5 in an input Integer
// A recursive function to replace all 0s with 5s in
    // an input number. It doesn't work if input number
    // itself is 0.
    function convert0To5Rec(num) {
        // Base case
        if (num == 0)
            return 0;

        // Extract the last digit and change it if needed
        var digit = num % 10;
        if (digit == 0)
            digit = 5;

        // Convert remaining digits and append the
        // last digit
        return convert0To5Rec(parseInt(num / 10)) * 10 + digit;
    }

    // It handles 0 and calls convert0To5Rec() for
    // other numbers
    function convert0To5(num) {
        if (num == 0)
            return 5;
        else
            return convert0To5Rec(num);
    }

    // Driver function

        document.write(convert0To5(10120));

// This code contributed by gauravrajput1
</script>

Output

15125

Complexity Analysis:

• Time Complexity: O(k), the recursive function is called only k times, where k is the number of digits of the number
• Space Complexity: O(1), no extra space is required.

Approach (Using builtin Python function replace())

Python3

# Python program for the above approach

# Function to replace all 0s with 5s
def change(num):
    s = str(num)
    s = s.replace('0', '5')
    return s

# Driver code
if __name__ == '__main__':
    num = 10120
    print(change(num))

Output

15125