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Mystery Number in C++

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In this tutorial, we will write a C++ program to check if a number is a Mystery Number. Before that, we may go through the following topic in C++.

A mystery number is a number that can be expressed as the sum of two numbers and those two numbers should be the reverse of each other. It lies between 22 to 198, i.e. 22<=N<=198.

Example:

132 = 93+39
154 = 68 + 86
176 = 79 + 97

Program to check Mystery Number in C++

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

int revNum(int str)
{
  string s = to_string(str);

  reverse(s.begin(), s.end());

  stringstream ss(s);
  int rev = 0;
  ss >> rev;

  return rev;
}

bool isMysteryNumber(int n)
{
  for (int i = 1; i <= n / 2; i++)
  {
    int j = revNum(i);
    if (i + j == n)
    {
      cout << i << " " << j;
      return true;
    }
  }

  return false;
}

//main function
int main()
{
  int num;

  cout << "Enter the number: ";
  cin >> num;

  if (isMysteryNumber(num))
    cout << "\n" << num << " is a Mystery number";
  else
    cout << "\n" << num << " is NOT a Mystery number";
}

Output:

Enter the number: 154
59 95
154 is a Mystery number

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