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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-209-circular-logic.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* feat(tools): add seed/solution restore script

* chore(curriculum): remove empty sections' markers

* chore(curriculum): add seed + solution to Chinese

* chore: remove old formatter

* fix: update getChallenges

parse translated challenges separately, without reference to the source

* chore(curriculum): add dashedName to English

* chore(curriculum): add dashedName to Chinese

* refactor: remove unused challenge property 'name'

* fix: relax dashedName requirement

* fix: stray tag

Remove stray `pre` tag from challenge file.

Signed-off-by: nhcarrigan <nhcarrigan@gmail.com>

Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
2021-01-12 19:31:00 -07:00

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Markdown

---
id: 5900f43e1000cf542c50ff4f
title: 'Problem 209: Circular Logic'
challengeType: 5
forumTopicId: 301850
dashedName: problem-209-circular-logic
---
# --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)?
# --hints--
`euler209()` should return 15964587728784.
```js
assert.strictEqual(euler209(), 15964587728784);
```
# --seed--
## --seed-contents--
```js
function euler209() {
return true;
}
euler209();
```
# --solutions--
```js
// solution required
```