82 lines
1.5 KiB
Markdown
82 lines
1.5 KiB
Markdown
---
|
|
id: 5900f39c1000cf542c50feaf
|
|
challengeType: 5
|
|
title: 'Problem 48: Self powers'
|
|
forumTopicId: 302157
|
|
---
|
|
|
|
## Description
|
|
<section id='description'>
|
|
The series, 1<sup>1</sup> + 2<sup>2</sup> + 3<sup>3</sup> + ... + 10<sup>10</sup> = 10405071317.
|
|
Find the last ten digits of the series, 1<sup>1</sup> + 2<sup>2</sup> + 3<sup>3</sup> + ... + 1000<sup>1000</sup>.
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>selfPowers(10, 3)</code> should return 317.
|
|
testString: assert.strictEqual(selfPowers(10, 3), 317);
|
|
- text: <code>selfPowers(150, 6)</code> should return 29045.
|
|
testString: assert.strictEqual(selfPowers(150, 6), 29045);
|
|
- text: <code>selfPowers(673, 7)</code> should return 2473989.
|
|
testString: assert.strictEqual(selfPowers(673, 7), 2473989);
|
|
- text: <code>selfPowers(1000, 10)</code> should return 9110846700.
|
|
testString: assert.strictEqual(selfPowers(1000, 10), 9110846700);
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function selfPowers(power, lastDigits) {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
selfPowers(1000, 10);
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
|
|
```js
|
|
function selfPowers(power, lastDigits) {
|
|
let sum = 0;
|
|
const modulo = Math.pow(10, lastDigits);
|
|
|
|
for (let i = 1; i <= power; i++) {
|
|
let temp = i;
|
|
for (let j = 1; j < i; j++) {
|
|
temp *= i;
|
|
temp %= modulo;
|
|
}
|
|
|
|
sum += temp;
|
|
sum %= modulo;
|
|
}
|
|
|
|
return sum;
|
|
}
|
|
```
|
|
|
|
</section>
|