1.2 KiB
| id | title | challengeType | forumTopicId | dashedName |
|---|---|---|---|---|
| 5900f4801000cf542c50ff92 | Problem 275: Balanced Sculptures | 5 | 301925 | problem-275-balanced-sculptures |
--description--
Let us define a balanced sculpture of order n as follows:
A polyomino made up of n+1 tiles known as the blocks (n tiles) and the plinth (remaining tile);
the plinth has its centre at position (x = 0, y = 0);
the blocks have y-coordinates greater than zero (so the plinth is the unique lowest tile);
the centre of mass of all the blocks, combined, has x-coordinate equal to zero.
When counting the sculptures, any arrangements which are simply reflections about the y-axis, are not counted as distinct. For example, the 18 balanced sculptures of order 6 are shown below; note that each pair of mirror images (about the y-axis) is counted as one sculpture:
There are 964 balanced sculptures of order 10 and 360505 of order 15.How many balanced sculptures are there of order 18?
--hints--
euler275() should return 15030564.
assert.strictEqual(euler275(), 15030564);
--seed--
--seed-contents--
function euler275() {
return true;
}
euler275();
--solutions--
// solution required