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* fix: clean-up Project Euler 121-140 * fix: corrections from review Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> * fix: missing backticks Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> * fix: corrections from review Co-authored-by: Tom <20648924+moT01@users.noreply.github.com> * fix: missing delimiter Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
51 lines
1.5 KiB
Markdown
51 lines
1.5 KiB
Markdown
---
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id: 5900f3ea1000cf542c50fefd
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title: 'Problem 126: Cuboid layers'
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challengeType: 5
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forumTopicId: 301753
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dashedName: problem-126-cuboid-layers
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---
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# --description--
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The minimum number of cubes to cover every visible face on a cuboid measuring 3 x 2 x 1 is twenty-two.
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<img class="img-responsive center-block" alt="3x2x1 cuboid covered by twenty-two 1x1x1 cubes" src="https://cdn.freecodecamp.org/curriculum/project-euler/cuboid-layers.png" style="background-color: white; padding: 10px;">
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If we add a second layer to this solid it would require forty-six cubes to cover every visible face, the third layer would require seventy-eight cubes, and the fourth layer would require one-hundred and eighteen cubes to cover every visible face.
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However, the first layer on a cuboid measuring 5 x 1 x 1 also requires twenty-two cubes; similarly, the first layer on cuboids measuring 5 x 3 x 1, 7 x 2 x 1, and 11 x 1 x 1 all contain forty-six cubes.
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We shall define $C(n)$ to represent the number of cuboids that contain $n$ cubes in one of its layers. So $C(22) = 2$, $C(46) = 4$, $C(78) = 5$, and $C(118) = 8$.
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It turns out that 154 is the least value of $n$ for which $C(n) = 10$.
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Find the least value of $n$ for which $C(n) = 1000$.
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# --hints--
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`cuboidLayers()` should return `18522`.
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```js
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assert.strictEqual(cuboidLayers(), 18522);
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```
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# --seed--
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## --seed-contents--
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```js
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function cuboidLayers() {
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return true;
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}
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cuboidLayers();
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```
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# --solutions--
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```js
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// solution required
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```
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