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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-209-circular-logic.md

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+---
+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
+```