66 lines
1.2 KiB
Markdown
66 lines
1.2 KiB
Markdown
---
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id: 5900f4861000cf542c50ff98
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challengeType: 5
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title: 'Problem 281: Pizza Toppings'
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forumTopicId: 301932
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---
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## Description
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<section id='description'>
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You are given a pizza (perfect circle) that has been cut into m·n equal pieces and you want to have exactly one topping on each slice.
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Let f(m,n) denote the number of ways you can have toppings on the pizza with m different toppings (m ≥ 2), using each topping on exactly n slices (n ≥ 1). Reflections are considered distinct, rotations are not.
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Thus, for instance, f(2,1) = 1, f(2,2) = f(3,1) = 2 and f(3,2) = 16. f(3,2) is shown below:
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Find the sum of all f(m,n) such that f(m,n) ≤ 1015.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler281()</code> should return 1485776387445623.
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testString: assert.strictEqual(euler281(), 1485776387445623);
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler281() {
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// Good luck!
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return true;
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}
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euler281();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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