---
id: 5900f42f1000cf542c50ff40
title: 'Problem 194: Coloured Configurations'
challengeType: 5
forumTopicId: 301832
dashedName: problem-194-coloured-configurations
---

# --description--

Consider graphs built with the units A:

and B: , where the units are glued along

the vertical edges as in the graph .

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.

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.

Find the last 8 digits of N(25,75,1984).

# --hints--

`euler194()` should return 61190912.

```js
assert.strictEqual(euler194(), 61190912);
```

# --seed--

## --seed-contents--

```js
function euler194() {

  return true;
}

euler194();
```

# --solutions--

```js
// solution required
```
