Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
1634 = 1^4 + 6^4 + 3^4 + 4^4
8208 = 8^4 + 2^4 + 0^4 + 8^4
9474 = 9^4 + 4^4 + 7^4 + 4^4
As 1 = 14 is not a sum it is not included.
The sum of these numbers is 1634 + 8208 + 9474 = 19316.
Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.
const result = () =>
Array.from(new Array(194980),(val,index)=>index)
.filter(a => a == a.toString().split("")
.map(e => Math.pow(parseInt(e), 5))
.reduce((a, b) => a+b))
.reduce((a,b) => a+b) - 1;// TODO: Replace examples and use TDD development by writing your own tests
// These are some CW specific test methods available:
// Test.expect(boolean, [optional] message)
// Test.assertEquals(actual, expected, [optional] message)
// Test.assertSimilar(actual, expected, [optional] message)
// Test.assertNotEquals(actual, expected, [optional] message)
// NodeJS assert is also automatically required for you.
// assert(true)
// assert.strictEqual({a: 1}, {a: 1})
// assert.deepEqual({a: [{b: 1}]}, {a: [{b: 1}]})
// You can also use Chai (http://chaijs.com/) by requiring it yourself
// var expect = require("chai").expect;
// var assert = require("chai").assert;
// require("chai").should();
describe("Solution", function(){
it("The sum should be equal to our verified solution", function(){
Test.assertEquals(result(), 443839);
});
});