* 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>
47 lines
1.5 KiB
Markdown
47 lines
1.5 KiB
Markdown
---
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id: 5900f4361000cf542c50ff48
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title: 问题201:具有唯一总和的子集
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challengeType: 5
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videoUrl: ''
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dashedName: problem-201-subsets-with-a-unique-sum
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---
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# --description--
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对于任何数字集A,让sum(A)为A的元素之和。考虑集合B = {1,3,6,8,10,11}。 B的20个子集包含三个元素,它们的总和是:
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sum({1,3,6})= 10,sum({1,3,8})= 12,sum({1,3,10})= 14,sum({1,3,11})= 15,sum({1,6,8})= 15,sum({1,6,10})= 17,sum({1,6,11})= 18,sum({1,8,10} )= 19,sum({1,8,11})= 20,sum({1,10,11})= 22,sum({3,6,8})= 17,sum({3,6, 10})= 19,sum({3,6,11})= 20,sum({3,8,10})= 21,sum({3,8,11})= 22,sum({3, 10,11})= 24,sum({6,8,10})= 24,sum({6,8,11})= 25,sum({6,10,11})= 27,sum({ 8,10,11})= 29。
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其中一些总和不止一次出现,有些则是独一无二的。对于集合A,设U(A,k)是A的k元素子集的唯一和的集合,在我们的例子中我们发现U(B,3)= {10,12,14,18,21,25 ,27,29}和和(U(B,3))= 156。
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现在考虑100个元素集S = {12,22,...,1002}。 S具有100891344545564193334812497256 50个元素子集。
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确定所有整数的和,它们是S的50个元素子集中的一个的总和,即求和(U(S,50))。
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# --hints--
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`euler201()`应返回115039000。
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```js
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assert.strictEqual(euler201(), 115039000);
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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 euler201() {
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return true;
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}
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euler201();
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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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