* 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>
59 lines
1.6 KiB
Markdown
59 lines
1.6 KiB
Markdown
---
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id: 5900f45b1000cf542c50ff6d
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title: 问题238:无限的字符串游览
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challengeType: 5
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videoUrl: ''
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dashedName: problem-238-infinite-string-tour
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---
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# --description--
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使用“Blum Blum Shub”伪随机数生成器创建一系列数字:
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s0 = 14025256 sn + 1 = sn2 mod 20300713
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连接这些数字s0s1s2 ...以创建一个无限长度的字符串w。然后,w = 14025256741014958470038053646 ......
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对于正整数k,如果不存在w的子串,其中数字之和等于k,则p(k)被定义为零。如果w的至少一个子字符串存在且数字之和等于k,则我们定义p(k)= z,其中z是最早的这种子字符串的起始位置。
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例如:
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子串1,14,1402 ......具有等于1,5,7,...的数字的总和,从位置1开始,因此p(1)= p(5)= p(7)= ...... = 1。
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子串4,402,4025,...各自的数字总和等于4,6,11 ......从位置2开始,因此p(4)= p(6)= p(11)= ...... = 2。
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子串02,0252,......各自的数字总和等于2,9,...从位置3开始,因此p(2)= p(9)= ...... = 3。
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请注意,从位置3开始的子字符串025具有等于7的数字之和,但是存在较早的子字符串(从位置1开始),其数字之和等于7,因此p(7)= 1,而不是3。
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我们可以验证,对于0 <k≤103,Σp(k)= 4742。
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求Σp(k),0 <k≤2·1015。
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# --hints--
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`euler238()`应该返回9922545104535660。
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```js
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assert.strictEqual(euler238(), 9922545104535660);
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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 euler238() {
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return true;
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}
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euler238();
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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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