79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
65 lines
1.6 KiB
Markdown
65 lines
1.6 KiB
Markdown
---
|
||
id: 5900f4081000cf542c50ff1a
|
||
challengeType: 5
|
||
title: 'Problem 155: Counting Capacitor Circuits'
|
||
---
|
||
|
||
## Description
|
||
<section id='description'>
|
||
An electric circuit uses exclusively identical capacitors of the same value C.
|
||
|
||
The capacitors can be connected in series or in parallel to form sub-units, which can then be connected in series or in parallel with other capacitors or other sub-units to form larger sub-units, and so on up to a final circuit.
|
||
Using this simple procedure and up to n identical capacitors, we can make circuits having a range of different total capacitances. For example, using up to n=3 capacitors of 60 F each, we can obtain the following 7 distinct total capacitance values:
|
||
|
||
If we denote by D(n) the number of distinct total capacitance values we can obtain when using up to n equal-valued capacitors and the simple procedure described above, we have: D(1)=1, D(2)=3, D(3)=7 ...
|
||
Find D(18).
|
||
Reminder : When connecting capacitors C1, C2 etc in parallel, the total capacitance is CT = C1 + C2 +...,
|
||
|
||
whereas when connecting them in series, the overall capacitance is given by:
|
||
</section>
|
||
|
||
## Instructions
|
||
<section id='instructions'>
|
||
|
||
</section>
|
||
|
||
## Tests
|
||
<section id='tests'>
|
||
|
||
```yml
|
||
tests:
|
||
- text: <code>euler155()</code> should return 3857447.
|
||
testString: assert.strictEqual(euler155(), 3857447, '<code>euler155()</code> should return 3857447.');
|
||
|
||
```
|
||
|
||
</section>
|
||
|
||
## Challenge Seed
|
||
<section id='challengeSeed'>
|
||
|
||
<div id='js-seed'>
|
||
|
||
```js
|
||
function euler155() {
|
||
// Good luck!
|
||
return true;
|
||
}
|
||
|
||
euler155();
|
||
```
|
||
|
||
</div>
|
||
|
||
|
||
|
||
</section>
|
||
|
||
## Solution
|
||
<section id='solution'>
|
||
|
||
```js
|
||
// solution required
|
||
```
|
||
</section>
|