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>
53 lines
1.4 KiB
Markdown
53 lines
1.4 KiB
Markdown
---
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id: 5900f4411000cf542c50ff53
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title: 问题212：长方体的组合体积
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challengeType: 5
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videoUrl: ''
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dashedName: problem-212-combined-volume-of-cuboids
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---
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# --description--
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由参数{（x0，y0，z0），（dx，dy，dz）}指定的轴对齐长方体由所有点（X，Y，Z）组成，使得x0≤X≤x0+ dx，y0≤ Y≤y0+ dy且z0≤Z≤z0+ dz。长方体的体积是乘积，dx×dy×dz。长方体集合的总体积是它们的并集体积，如果任何长方体重叠，它将小于各个体积的总和。
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设C1，...，C50000是50000轴对齐长方体的集合，使得Cn具有参数
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x0 = S6n-5模10000y0 = S6n-4模10000z0 = S6n-3模10000dx = 1 +（S6n-2模399）dy = 1 +（S6n-1模399）dz = 1 +（S6n模399）
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其中S1，...，S300000来自“Lagged Fibonacci Generator”：
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对于1≤k≤55，Sk = \[100003 - 200003k + 300007k3]（模1000000）对于56≤k，Sk = \[Sk-24 + Sk-55]（模1000000）
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因此，C1具有参数{（7,53,183），（94,369,56）}，C2具有参数{（2383,3563,5079），（42,212,344）}，等等。
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前100个长方体C1，...，C100的总体积为723581599。
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所有50000个长方体的总体积是多少，C1，...，C50000？
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# --hints--
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`euler212()`应该返回328968937309。
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```js
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assert.strictEqual(euler212(), 328968937309);
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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 euler212() {
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return true;
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}
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euler212();
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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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