5a52c229f5
* fix: clean-up Project Euler 181-200 * fix: corrections from review Co-authored-by: Tom <20648924+moT01@users.noreply.github.com> * fix: missing delimiter Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
47 lines
1.8 KiB
Markdown
47 lines
1.8 KiB
Markdown
---
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id: 5900f42f1000cf542c50ff40
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title: 'Problem 194: Coloured Configurations'
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challengeType: 5
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forumTopicId: 301832
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dashedName: problem-194-coloured-configurations
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---
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# --description--
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Consider graphs built with the units A:
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<img class="img-responsive" alt="graph unit A" src="https://cdn.freecodecamp.org/curriculum/project-euler/coloured-configurations-1.png" style="display: inline-block; background-color: white; padding: 10px;">
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and B: <img class="img-responsive" alt="graph unit B" src="https://cdn.freecodecamp.org/curriculum/project-euler/coloured-configurations-2.png" style="display: inline-block; background-color: white; padding: 10px;">, where the units are glued along the vertical edges as in the graph <img class="img-responsive" alt="graph with four units glued along the vertical edges" src="https://cdn.freecodecamp.org/curriculum/project-euler/coloured-configurations-3.png" style="display: inline-block; background-color: white; padding: 10px;">.
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A configuration of type $(a,b,c)$ is a graph thus built of $a$ units A and $b$ units B, where the graph's vertices are coloured using up to $c$ colours, so that no two adjacent vertices have the same colour. The compound graph above is an example of a configuration of type $(2,2,6)$, in fact of type $(2,2,c)$ for all $c ≥ 4$
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Let $N(a,b,c)$ be the number of configurations of type $(a,b,c)$. For example, $N(1,0,3) = 24$, $N(0,2,4) = 92928$ and $N(2,2,3) = 20736$.
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Find the last 8 digits of $N(25,75,1984)$.
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# --hints--
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`coloredConfigurations()` should return `61190912`.
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```js
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assert.strictEqual(coloredConfigurations(), 61190912);
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```
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# --seed--
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## --seed-contents--
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```js
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function coloredConfigurations() {
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return true;
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}
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coloredConfigurations();
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```
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# --solutions--
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```js
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// solution required
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```
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