79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
70 lines
1.1 KiB
Markdown
70 lines
1.1 KiB
Markdown
---
|
||
id: 5900f5411000cf542c510054
|
||
challengeType: 5
|
||
title: 'Problem 468: Smooth divisors of binomial coefficients'
|
||
---
|
||
|
||
## Description
|
||
<section id='description'>
|
||
An integer is called B-smooth if none of its prime factors is greater than B.
|
||
|
||
Let SB(n) be the largest B-smooth divisor of n.
|
||
Examples:
|
||
S1(10) = 1
|
||
S4(2100) = 12
|
||
S17(2496144) = 5712
|
||
|
||
Define F(n) = ∑1≤B≤n ∑0≤r≤n SB(C(n,r)). Here, C(n,r) denotes the binomial coefficient.
|
||
Examples:
|
||
F(11) = 3132
|
||
F(1 111) mod 1 000 000 993 = 706036312
|
||
F(111 111) mod 1 000 000 993 = 22156169
|
||
|
||
Find F(11 111 111) mod 1 000 000 993.
|
||
</section>
|
||
|
||
## Instructions
|
||
<section id='instructions'>
|
||
|
||
</section>
|
||
|
||
## Tests
|
||
<section id='tests'>
|
||
|
||
```yml
|
||
tests:
|
||
- text: <code>euler468()</code> should return 852950321.
|
||
testString: assert.strictEqual(euler468(), 852950321, '<code>euler468()</code> should return 852950321.');
|
||
|
||
```
|
||
|
||
</section>
|
||
|
||
## Challenge Seed
|
||
<section id='challengeSeed'>
|
||
|
||
<div id='js-seed'>
|
||
|
||
```js
|
||
function euler468() {
|
||
// Good luck!
|
||
return true;
|
||
}
|
||
|
||
euler468();
|
||
```
|
||
|
||
</div>
|
||
|
||
|
||
|
||
</section>
|
||
|
||
## Solution
|
||
<section id='solution'>
|
||
|
||
```js
|
||
// solution required
|
||
```
|
||
</section>
|