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curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-475-music-festival.md

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+---
+id: 5900f5481000cf542c51005a
+title: 'Problem 475: Music festival'
+challengeType: 5
+forumTopicId: 302152
+dashedName: problem-475-music-festival
+---
+
+# --description--
+
+12n musicians participate at a music festival. On the first day, they form 3n quartets and practice all day.
+
+It is a disaster. At the end of the day, all musicians decide they will never again agree to play with any member of their quartet.
+
+On the second day, they form 4n trios, each musician avoiding his previous quartet partners.
+
+Let f(12n) be the number of ways to organize the trios amongst the 12n musicians. You are given f(12) = 576 and f(24) mod 1 000 000 007 = 509089824.
+
+Find f(600) mod 1 000 000 007.
+
+# --hints--
+
+`euler475()` should return 75780067.
+
+```js
+assert.strictEqual(euler475(), 75780067);
+```
+
+# --seed--
+
+## --seed-contents--
+
+```js
+function euler475() {
+
+  return true;
+}
+
+euler475();
+```
+
+# --solutions--
+
+```js
+// solution required
+```