2018-10-04 14:37:37 +01:00
---
title: Happy numbers
id: 594810f028c0303b75339ad1
challengeType: 5
---
## Description
< section id = 'description' >
2019-03-05 18:37:06 +09:00
A < a href = "https://en.wikipedia.org/wiki/Happy_number" target = "_blank" > happy number< / a > is 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 < b > 1< / b > (where it will stay), or it loops endlessly in a cycle which does not include < b > 1< / b > . Those numbers for which this process ends in < b > 1< / b > are happy numbers, while those that do not end in < b > 1< / b > are unhappy numbers.
2018-10-04 14:37:37 +01:00
< / section >
## Instructions
< section id = 'instructions' >
2019-03-05 18:37:06 +09:00
Implement a function that returns true if the number is happy, or false if not.
2018-10-04 14:37:37 +01:00
< / section >
## Tests
< section id = 'tests' >
```yml
tests:
- text: < code > happy</ code > is a function.
2018-10-20 21:02:47 +03:00
testString: assert(typeof happy === 'function', '< code > happy< / code > is a function.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(1)</ code > should return a boolean.
2018-10-20 21:02:47 +03:00
testString: assert(typeof happy(1) === 'boolean', '< code > happy(1)< / code > should return a boolean.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(1)</ code > should return true.
2018-10-20 21:02:47 +03:00
testString: assert(happy(1), '< code > happy(1)< / code > should return true.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(2)</ code > should return false.
2018-10-20 21:02:47 +03:00
testString: assert(!happy(2), '< code > happy(2)< / code > should return false.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(7)</ code > should return true.
2018-10-20 21:02:47 +03:00
testString: assert(happy(7), '< code > happy(7)< / code > should return true.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(10)</ code > should return true.
2018-10-20 21:02:47 +03:00
testString: assert(happy(10), '< code > happy(10)< / code > should return true.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(13)</ code > should return true.
2018-10-20 21:02:47 +03:00
testString: assert(happy(13), '< code > happy(13)< / code > should return true.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(19)</ code > should return true.
2018-10-20 21:02:47 +03:00
testString: assert(happy(19), '< code > happy(19)< / code > should return true.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(23)</ code > should return true.
2018-10-20 21:02:47 +03:00
testString: assert(happy(23), '< code > happy(23)< / code > should return true.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(28)</ code > should return true.
2018-10-20 21:02:47 +03:00
testString: assert(happy(28), '< code > happy(28)< / code > should return true.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(31)</ code > should return true.
2018-10-20 21:02:47 +03:00
testString: assert(happy(31), '< code > happy(31)< / code > should return true.');
- text: < code > happy(32)</ code > should return true:.
testString: assert(happy(32), '< code > happy(32)< / code > should return true:.');
2018-10-04 14:37:37 +01:00
- text: < code > happy(33)</ code > should return false.
2018-10-20 21:02:47 +03:00
testString: assert(!happy(33), '< code > happy(33)< / code > should return false.');
2018-10-04 14:37:37 +01:00
```
< / section >
## Challenge Seed
< section id = 'challengeSeed' >
< div id = 'js-seed' >
```js
2019-03-05 18:37:06 +09:00
function happy(number) {
2018-10-04 14:37:37 +01:00
// Good luck!
}
```
< / div >
< / section >
## Solution
< section id = 'solution' >
```js
function happy (number) {
let m;
let digit;
const cycle = [];
while (number !== 1 & & cycle[number] !== true) {
cycle[number] = true;
m = 0;
while (number > 0) {
digit = number % 10;
m += Math.pow(digit, 2);
number = (number - digit) / 10;
}
number = m;
}
return (number === 1);
}
```
< / section >