Thursday, July 4, 2024
HomeData ModellingData Structure & AlgorithmCheck whether a + b = c or not after removing all...

Check whether a + b = c or not after removing all zeroes from a,b and c

Given two integers a and b, the task is to add them to get c. After that remove zeroes from a, b and c and check for modified values if a + b = c then return “YES” else return “NO”.
Examples: 
 

Input: a = 101, b = 102 
Output: YES 
101 + 102 = 203. 
After removing all zeroes from a, b and c, a = 11, b = 12 and c = 23 
Now check if a + b = c i.e. 11 + 12 = 23 . So print Yes.
Input: a = 105, b = 108 
Output: NO 
After removing all zeroes a + b!= c, therefore the output is NO. 
 

Approach: 
 

  • Create a function to removeZero from the number n.
  • Check if(removeZero(a)+removeZero(b)==removeZero(a+b)) then print YES else print NO

Below is the implementation of the above approach. 
 

C++




// C++ program to check the sum after
// Removing all zeroes is true or not
#include <bits/stdc++.h>
using namespace std;
 
// Function to remove zeroes
int removeZero(int n)
{
    // Initialize result to zero holds the
    // Result after removing zeroes from no
    int res = 0;
 
    // Initialize variable d to 1 that holds
    // digits of no
    int d = 1;
 
    // Loop while n is greater than zero
    while (n > 0) {
 
        // Check if n mod 10 is not equal to
        // zero
        if (n % 10 != 0) {
 
            // store the result by removing zeroes
            // And increment d by 10
            res += (n % 10) * d;
            d *= 10;
        }
 
        // Go to the next digit
        n /= 10;
    }
 
    // Return the result
    return res;
}
 
// Function to check if sum is true after
// Removing all zeroes.
bool isEqual(int a, int b)
{
    // Call removeZero() for both sides
    // and check whether they are equal
    // After removing zeroes.
 
    if (removeZero(a) + removeZero(b) == removeZero(a + b))
        return true;
 
    return false;
}
 
// Driver code
int main()
{
    int a = 105, b = 106;
    isEqual(a, b) ? cout << "Yes"
                  : cout << "No";
 
    return 0;
}


Java




// Java program to check the sum after
// Removing all zeroes is true or not
public class GfG {
     
    // Function to remove zeroes
    public static int removeZero(int n)
    {
        // Initialize result to zero holds the
        // Result after removing zeroes from no
        int res = 0;
       
        // Initialize variable d to 1 that holds
        // digits of no
        int d = 1;
       
        // Loop while n is greater than zero
        while (n > 0) {
       
            // Check if n mod 10 is not equal to
            // zero
            if (n % 10 != 0) {
       
                // store the result by removing zeroes
                // And increment d by 10
                res += (n % 10) * d;
                d *= 10;
            }
       
            // Go to the next digit
            n /= 10;
        }
       
        // Return the result
        return res;
    }
     
    // Function to check if sum is true after
    // Removing all zeroes.
    public static boolean isEqual(int a, int b)
    {
        // Call removeZero() for both sides
        // and check whether they are equal
        // After removing zeroes.
       
        if (removeZero(a) + removeZero(b) == removeZero(a + b))
            return true;
       
        return false;
    }
     
     public static void main(String []args){
         
        int a = 105, b = 106;
         
        if (isEqual(a, b) == true)
            System.out.println("Yes");
        else
            System.out.println("No");
     }
}
   
// This code is contributed by Rituraj Jain


Python3




# Python 3 program to check the sum after
# Removing all zeroes is true or not
 
# Function to remove zeroes
def removeZero(n):
     
    # Initialize result to zero holds the
    # Result after removing zeroes from no
    res = 0
 
    # Initialize variable d to 1 that
    # holds digits of no
    d = 1
 
    # Loop while n is greater than zero
    while (n > 0):
         
        # Check if n mod 10 is not equal
        # to zero
        if (n % 10 != 0):
             
            # store the result by removing
            # zeroes And increment d by 10
            res += (n % 10) * d
            d *= 10
 
        # Go to the next digit
        n //= 10
 
    # Return the result
    return res
 
# Function to check if sum is true
# after Removing all zeroes.
def isEqual(a, b):
     
    # Call removeZero() for both sides
    # and check whether they are equal
    # After removing zeroes.
    if (removeZero(a) +
        removeZero(b) == removeZero(a + b)):
        return True
 
    return False
 
# Driver code
a = 105
b = 106
if(isEqual(a, b)):
    print("Yes")
else:
    print("No")
 
# This code is contributed
# by sahishelangia


C#




// C# program to check the sum after
// Removing all zeroes is true or not
using System;
class GFG
{
 
// Function to remove zeroes
public static int removeZero(int n)
{
    // Initialize result to zero holds the
    // Result after removing zeroes from no
    int res = 0;
 
    // Initialize variable d to 1 that holds
    // digits of no
    int d = 1;
 
    // Loop while n is greater than zero
    while (n > 0)
    {
 
        // Check if n mod 10 is not equal to
        // zero
        if (n % 10 != 0)
        {
 
            // store the result by removing zeroes
            // And increment d by 10
            res += (n % 10) * d;
            d *= 10;
        }
 
        // Go to the next digit
        n /= 10;
    }
 
    // Return the result
    return res;
}
 
// Function to check if sum is true after
// Removing all zeroes.
public static bool isEqual(int a, int b)
{
    // Call removeZero() for both sides
    // and check whether they are equal
    // After removing zeroes.
 
    if (removeZero(a) +
        removeZero(b) == removeZero(a + b))
        return true;
 
    return false;
}
 
// Driver Code
public static void Main()
{
    int a = 105, b = 106;
     
    if (isEqual(a, b) == true)
        Console.WriteLine("Yes");
    else
        Console.WriteLine("No");
}
}
 
// This code is contributed
// by Akanksha Rai


PHP




<?php
// PHP program to check the sum after
// Removing all zeroes is true or not.
 
// Function to remove zeroes
function removeZero($n)
{
    // Initialize result to zero holds the
    // Result after removing zeroes from no
    $res = 0;
 
    // Initialize variable d to 1 that
    // holds digits of no
    $d = 1;
 
    // Loop while n is greater than zero
    while ($n > 0)
    {
 
        // Check if n mod 10 is not equal
        // to zero
        if ($n % 10 != 0)
        {
 
            // store the result by removing
            // zeroes and increment d by 10
            $res += ($n % 10) * $d;
            $d *= 10;
        }
 
        // Go to the next digit
        $n = floor($n / 10);
    }
 
    // Return the result
    return $res;
}
 
// Function to check if sum is true
// after Removing all zeroes.
function isEqual($a, $b)
{
    // Call removeZero() for both sides
    // and check whether they are equal
    // After removing zeroes.
    if (removeZero($a) +
        removeZero($b) == removeZero($a + $b))
        return true;
 
    return false;
}
 
// Driver code
$a = 105 ;
$b = 106 ;
 
if (isEqual($a, $b))
    echo "Yes";
else
    echo "No";
 
// This code is contributed by Ryuga
?>


Javascript




<script>
// Javascript program to check the sum after
// Removing all zeroes is true or not
 
// Function to remove zeroes
function removeZero( n)
{
    // Initialize result to zero holds the
    // Result after removing zeroes from no
    let res = 0;
 
    // Initialize variable d to 1 that holds
    // digits of no
    let d = 1;
 
    // Loop while n is greater than zero
    while (n > 0) {
 
        // Check if n mod 10 is not equal to
        // zero
        if (n % 10 != 0) {
 
            // store the result by removing zeroes
            // And increment d by 10
            res += (n % 10) * d;
            d *= 10;
        }
 
        // Go to the next digit
        n = Math.floor(n/10);
    }
 
    // Return the result
    return res;
}
 
// Function to check if sum is true after
// Removing all zeroes.
function isEqual( a, b)
{
    // Call removeZero() for both sides
    // and check whether they are equal
    // After removing zeroes.
 
    if (removeZero(a) + removeZero(b) == removeZero(a + b))
        return true;
 
    return false;
}
 
 
 
    // Driver Code
     
    let a = 105, b = 106;
    if (isEqual(a, b) == true)
        document.write("Yes");
    else
        document.write("No");
     
</script>


Output: 

No

 

Time Complexity: O(log10n)

Auxiliary Space: O(1)

Feeling lost in the world of random DSA topics, wasting time without progress? It’s time for a change! Join our DSA course, where we’ll guide you on an exciting journey to master DSA efficiently and on schedule.
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!

RELATED ARTICLES

LEAVE A REPLY

Please enter your comment!
Please enter your name here

Most Popular

Recent Comments