Problems > Happy Number

Happy Number

Difficulty: 1200 2000 ms 128 MB

math implementation

Repeatedly replace N by the sum of the squares of its digits. If the process reaches 1, N is happy; if it enters a cycle, it is not. Decide for N.

Input: one integer N.

Output: YES if N is happy, else NO.

Constraints:

  • 1 ≤ N ≤ 1018

Sample Tests

Input 1
19
Output 1
YES
Input 2
4
Output 2
NO

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