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1.1 KiB
id, title, challengeType, forumTopicId, dashedName
| id | title | challengeType | forumTopicId | dashedName |
|---|---|---|---|---|
| 5900f43e1000cf542c50ff4f | Problem 209: Zirkuläre Logik | 1 | 301850 | 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 y |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
| x | y | x XOR y |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
How 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
für alle $6$-bit Eingaben (a, b, c, d, e, f)?
--hints--
circularLogic() sollte 15964587728784 zurückgeben.
assert.strictEqual(circularLogic(), 15964587728784);
--seed--
--seed-contents--
function circularLogic() {
return true;
}
circularLogic();
--solutions--
// solution required