freeCodeCamp/problem-194-coloured-configurations.english.md at ef79ddd0de35a4e10b8b4588e67938f86d2bae10

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mrugesh 22afc2a0ca feat(learn): python certification projects (#38216 )

Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com>
Co-authored-by: Beau Carnes <beaucarnes@gmail.com>

2020-05-27 13:19:08 +05:30

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id, challengeType, isHidden, title, forumTopicId

id	challengeType	isHidden	title	forumTopicId
5900f42f1000cf542c50ff40	5	false	Problem 194: Coloured Configurations	301832

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).

Instructions

Tests

tests:
  - text: <code>euler194()</code> should return 61190912.
    testString: assert.strictEqual(euler194(), 61190912);

Challenge Seed

function euler194() {
  // Good luck!
  return true;
}

euler194();

Solution

// solution required

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