freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-377-sum-of-digits-experience-13.english.md

id, challengeType, title, forumTopicId

id	challengeType	title	forumTopicId
5900f4e51000cf542c50fff8	5	Problem 377: Sum of digits, experience 13	302039

Description

There are 16 positive integers that do not have a zero in their digits and that have a digital sum equal to 5, namely: 5, 14, 23, 32, 41, 113, 122, 131, 212, 221, 311, 1112, 1121, 1211, 2111 and 11111. Their sum is 17891.

Let f(n) be the sum of all positive integers that do not have a zero in their digits and have a digital sum equal to n.

Find \displaystyle \sum_{i=1}^{17} f(13^i). Give the last 9 digits as your answer.

Instructions

Tests

tests:
  - text: <code>euler377()</code> should return 732385277.
    testString: assert.strictEqual(euler377(), 732385277);

Challenge Seed

function euler377() {
  // Good luck!
  return true;
}

euler377();

Solution

// solution required