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Happy_Number.cpp
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/*
Write an algorithm to determine if a number n is happy.
A happy number is a number defined by the following process:
Starting with any positive integer, replace the number by the sum of the squares of its digits.
Repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1.
Those numbers for which this process ends in 1 are happy.
Example:
Input: n = 19
Output: true
Explanation:
12 + 92 = 82
82 + 22 = 68
62 + 82 = 100
12 + 02 + 02 = 1
*/
#include <iostream>
using namespace std;
class Happy {
int n;
public:
void set_data(){
cout<<"Enter the number you want to check"<<endl;
cin>>n;
}
bool isHappy(int n) {
if (n==1)
return true;
else if (n!=7 and n < 10)
return false;
else
return isHappy(sq_of_dig(n));
return false;
}
int sq_of_dig(int n){
int s=0;
while(n!=0){
int d= n%10;
s=s+d*d;
n=n/10;
}
return s;
}
void display(){
if(isHappy(n))
cout<<"Yes its a happy number";
else
cout<<"No its not a happy number";
}
};
int main()
{
Happy h;
h.set_data();
h.display();
return 0;
}
/*
Enter the number you want to check
Input: 19
Output: Yes its a happy number
Enter the number you want to check
Input: 2
Output: No its not a happy number
*/