#include <iostream>
using namespace std;
// Utility method to return sum of square of
int numSquareSum(int n)
{
int squareSum = 0;
while (n)
{
squareSum += (n % 10) * (n % 10);
n /= 10;
}
return squareSum;
}
// method return true if n is Happy number
bool isHappynumber(int n)
{
int slow, fast;
// initialize slow and fast by n
slow = fast = n;
do
{
// move slow number by one iteration
slow = numSquareSum(slow);
// move fast number by two iteration
fast = numSquareSum(numSquareSum(fast));
}
while (slow != fast);
// if both number meet at 1, then return true
return (slow == 1);
}
// Driver code to test above methods
int main()
{
int n = 19;
if (isHappynumber(n))
cout << n << " is a Happy number\n";
else
cout << n << " is not a Happy number\n";
}
I'm an enthusiast with a strong command of programming and algorithms. My expertise is grounded in hands-on experience, and I can confidently analyze and discuss code snippets like the one you provided. Now, let's dive into the code you posted:
#include <iostream>
using namespace std;
// Utility method to return sum of square of int
int numSquareSum(int n) {
int squareSum = 0;
while (n) {
squareSum += (n % 10) * (n % 10);
n /= 10;
}
return squareSum;
}
// Method returns true if n is a Happy number
bool isHappyNumber(int n) {
int slow, fast;
// Initialize slow and fast by n
slow = fast = n;
do {
// Move slow number by one iteration
slow = numSquareSum(slow);
// Move fast number by two iterations
fast = numSquareSum(numSquareSum(fast));
} while (slow != fast);
// If both numbers meet at 1, then return true
return (slow == 1);
}
// Driver code to test the above methods
int main() {
int n = 19;
if (isHappyNumber(n))
cout << n << " is a Happy number\n";
else
cout << n << " is not a Happy number\n";
return 0;
}
Explanation:
-
numSquareSum(int n):
- This function calculates the sum of the squares of the digits of a given number.
- It uses a while loop to iterate through each digit of the number, squares the digit, and adds it to the
squareSum
. - The loop continues until the number becomes zero.
- The final
squareSum
is then returned.
-
isHappyNumber(int n):
- This function determines whether a given number is a "Happy Number" or not.
- It uses two pointers,
slow
andfast
, initialized with the given numbern
. - The function employs a do-while loop where the
slow
pointer moves one step at a time, and thefast
pointer moves two steps at a time. - If the number is a Happy Number, the loop will eventually reach the number 1. If not, it may enter a cycle.
- The loop continues until the
slow
andfast
pointers meet. - If the pointers meet at 1, the function returns
true
; otherwise, it returnsfalse
.
-
main():
- The
main
function is the entry point of the program. - It tests the
isHappyNumber
function with the number 19 and prints whether it is a Happy Number or not.
- The
In conclusion, the provided C++ code demonstrates the concept of Happy Numbers, which are numbers where the sum of the squares of its digits leads to 1 through iterative processes. The code utilizes a slow and fast pointer approach to check for the Happy Number property.