freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-147-rectangles-in-cross-hatched-grids.english.md

id	challengeType	title	forumTopicId
5900f3ff1000cf542c50ff12	5	Problem 147: Rectangles in cross-hatched grids	301776

Description

In a 3x2 cross-hatched grid, a total of 37 different rectangles could be situated within that grid as indicated in the sketch.

There are 5 grids smaller than 3x2, vertical and horizontal dimensions being important, i.e. 1x1, 2x1, 3x1, 1x2 and 2x2. If each of them is cross-hatched, the following number of different rectangles could be situated within those smaller grids: 1x1: 1 2x1: 4 3x1: 8 1x2: 4 2x2: 18

Adding those to the 37 of the 3x2 grid, a total of 72 different rectangles could be situated within 3x2 and smaller grids.

How many different rectangles could be situated within 47x43 and smaller grids?

Instructions

Tests

tests:
  - text: <code>euler147()</code> should return 846910284.
    testString: assert.strictEqual(euler147(), 846910284);

Challenge Seed

function euler147() {
  // Good luck!
  return true;
}

euler147();

Solution

// solution required