49 lines
1.0 KiB
Markdown
49 lines
1.0 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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and B: , where the units are glued along
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the vertical edges as in the graph .
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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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`euler194()` should return 61190912.
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```js
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assert.strictEqual(euler194(), 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 euler194() {
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return true;
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}
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euler194();
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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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