freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-217-balanced-numbers.english.md

id, challengeType, title, forumTopicId

id	challengeType	title	forumTopicId
5900f4461000cf542c50ff58	5	Problem 217: Balanced Numbers	301859

Description

A positive integer with k (decimal) digits is called balanced if its first ⌈k/2⌉ digits sum to the same value as its last ⌈k/2⌉ digits, where ⌈x⌉, pronounced ceiling of x, is the smallest integer ≥ x, thus ⌈π⌉ = 4 and ⌈5⌉ = 5. So, for example, all palindromes are balanced, as is 13722. Let T(n) be the sum of all balanced numbers less than 10n. Thus: T(1) = 45, T(2) = 540 and T(5) = 334795890. Find T(47) mod 315

Instructions

Tests

tests:
  - text: <code>euler217()</code> should return 6273134.
    testString: assert.strictEqual(euler217(), 6273134);

Challenge Seed

function euler217() {
  // Good luck!
  return true;
}

euler217();

Solution

// solution required