22afc2a0ca
Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com> Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> Co-authored-by: Beau Carnes <beaucarnes@gmail.com>
69 lines
1.1 KiB
Markdown
69 lines
1.1 KiB
Markdown
---
|
|
id: 5900f43e1000cf542c50ff4f
|
|
challengeType: 5
|
|
isHidden: false
|
|
title: 'Problem 209: Circular Logic'
|
|
forumTopicId: 301850
|
|
---
|
|
|
|
## Description
|
|
<section id='description'>
|
|
A k-input binary truth table is a map from k input bits
|
|
(binary digits, 0 [false] or 1 [true]) to 1 output bit. For example, the 2-input binary truth tables for the logical AND and XOR functions are:
|
|
|
|
x
|
|
y
|
|
x AND y000010100111x
|
|
y
|
|
x XOR y000011101110How many 6-input binary truth tables, τ, satisfy the formula
|
|
|
|
τ(a, b, c, d, e, f) AND τ(b, c, d, e, f, a XOR (b AND c)) = 0
|
|
for all 6-bit inputs (a, b, c, d, e, f)?
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>euler209()</code> should return 15964587728784.
|
|
testString: assert.strictEqual(euler209(), 15964587728784);
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function euler209() {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
euler209();
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
```js
|
|
// solution required
|
|
```
|
|
|
|
</section>
|