* 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>
47 lines
940 B
Markdown
47 lines
940 B
Markdown
---
|
|
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
|
|
```
|