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#202 - Happy Number

Problem Description

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.

Return true if n is a happy number, and false if not.

Solution

/**
 * @param {number} n
 * @return {boolean}
 */
var isHappy = function(n) {
  while (n !== 1) {
    n = [...String(n)].reduce((sum, digit) => sum + digit ** 2, 0);
    if (n === 4) {
      return false;
    }
  }
  return true;
};