1.1 KiB
1.1 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f3ff1000cf542c50ff12 | Problem 147: Rectangles in cross-hatched grids | 5 | 301776 | problem-147-rectangles-in-cross-hatched-grids |
--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?
--hints--
euler147()
should return 846910284.
assert.strictEqual(euler147(), 846910284);
--seed--
--seed-contents--
function euler147() {
return true;
}
euler147();
--solutions--
// solution required