freeCodeCamp/curriculum/challenges/espanol/10-coding-interview-prep/project-euler/problem-116-red-green-or-bl...

1.9 KiB

id title challengeType forumTopicId dashedName
5900f3e01000cf542c50fef3 Problem 116: Red, green or blue tiles 5 301742 problem-116-red-green-or-blue-tiles

--description--

A row of five black square tiles is to have a number of its tiles replaced with coloured oblong tiles chosen from red (length two), green (length three), or blue (length four).

If red tiles are chosen there are exactly seven ways this can be done.

Possible ways to placing red oblong on a row with length of five units

If green tiles are chosen there are three ways.

Possible ways of placing green oblong on a row with length of five units

And if blue tiles are chosen there are two ways.

Possible ways of placing blue oblong on a row with length of five units

Assuming that colors cannot be mixed there are 7 + 3 + 2 = 12 ways of replacing the black tiles in a row measuring five units in length. How many different ways can the black tiles in a row measuring fifty units in length be replaced if colors cannot be mixed and at least one colored tile must be used?

Note: This is related to Problem 117.

--hints--

redGreenBlueOne() should return 20492570929.

assert.strictEqual(redGreenBlueOne(), 20492570929);

--seed--

--seed-contents--

function redGreenBlueOne() {

  return true;
}

redGreenBlueOne();

--solutions--

// solution required