ee1e8abd87
* feat(tools): add seed/solution restore script * chore(curriculum): remove empty sections' markers * chore(curriculum): add seed + solution to Chinese * chore: remove old formatter * fix: update getChallenges parse translated challenges separately, without reference to the source * chore(curriculum): add dashedName to English * chore(curriculum): add dashedName to Chinese * refactor: remove unused challenge property 'name' * fix: relax dashedName requirement * fix: stray tag Remove stray `pre` tag from challenge file. Signed-off-by: nhcarrigan <nhcarrigan@gmail.com> Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
1.2 KiB
id, title, challengeType, forumTopicId, dashedName
| 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