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Challenge Points: 10
Level: EasyDetermine whether a number is joyful based on a repeated digit-squaring process.
Here’s how it works:
Begin with any positive integer.
Replace the number with the sum of the squares of its digits.
Keep repeating this process until the number becomes 1 (meaning it’s joyful) or it begins to cycle endlessly without reaching 1.
If the process ends in 1, the number is joyful; otherwise, it’s not.
Return true if the number is joyful, otherwise false.
Input: n = 7
Output: true
Explanation:
7² = 49 4² + 9² = 97 9² + 7² = 130 1² + 3² + 0² = 10 1² + 0² = 1 → Joyful!
Input: n = 4
Output: false
Explanation:
4² = 16 1² + 6² = 37 3² + 7² = 58 5² + 8² = 89 8² + 9² = 145 1² + 4² + 5² = 42 4² + 2² = 20 2² + 0² = 4 → Loops again → Not joyful
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