Write an algorithm to determine if a number 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, and 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 numbers.
Example: 19 is a happy number
- 12 + 92 = 82
- 82 + 22 = 68
- 62 + 82 = 100
- 12 + 02 + 02 =
1
Credits:
Special thanks to @mithmatt and @ts for
adding this problem and creating all test cases.
bool isHappy(int n) { int hash[20]; memset(hash, -1, sizeof(hash)); while (1) { int m = 0; while (n) { m += (n % 10) * (n % 10); n /= 10; } n = m; if (n == 1) return true; int p = n % 20; while (hash[p] != -1) { if (hash[p] == n) return false; p++; if (p == 20) p = 0; } hash[p] = n; } }
时间: 2024-10-31 04:56:04