chore(i18n,learn): processed translations (#44851)

This commit is contained in:
camperbot
2022-01-21 01:00:18 +05:30
committed by GitHub
parent f866718a3d
commit 5c868af2b8
1696 changed files with 159426 additions and 69 deletions

View File

@ -0,0 +1,46 @@
---
id: 5900f4c21000cf542c50ffd4
title: 'Problem 340: Crazy Function'
challengeType: 5
forumTopicId: 301999
dashedName: problem-340-crazy-function
---
# --description--
For fixed integers $a$, $b$, $c$, define the crazy function $F(n)$ as follows:
$$\begin{align} & F(n) = n - c \\;\text{ for all } n > b \\\\ & F(n) = F(a + F(a + F(a + F(a + n)))) \\;\text{ for all } n ≤ b. \end{align}$$
Also, define $S(a, b, c) = \displaystyle\sum_{n = 0}^b F(n)$.
For example, if $a = 50$, $b = 2000$ and $c = 40$, then $F(0) = 3240$ and $F(2000) = 2040$. Also, $S(50, 2000, 40) = 5\\,204\\,240$.
Find the last 9 digits of $S({21}^7, 7^{21}, {12}^7)$.
# --hints--
`crazyFunction()` should return `291504964`.
```js
assert.strictEqual(crazyFunction(), 291504964);
```
# --seed--
## --seed-contents--
```js
function crazyFunction() {
return true;
}
crazyFunction();
```
# --solutions--
```js
// solution required
```