43 lines
986 B
Markdown
43 lines
986 B
Markdown
---
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id: 5900f4fa1000cf542c51000d
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title: 'Problem 398: Cutting rope'
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challengeType: 5
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forumTopicId: 302063
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dashedName: problem-398-cutting-rope
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---
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# --description--
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Inside a rope of length n, n-1 points are placed with distance 1 from each other and from the endpoints. Among these points, we choose m-1 points at random and cut the rope at these points to create m segments.
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Let E(n, m) be the expected length of the second-shortest segment. For example, E(3, 2) = 2 and E(8, 3) = 16/7. Note that if multiple segments have the same shortest length the length of the second-shortest segment is defined as the same as the shortest length.
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Find E(107, 100). Give your answer rounded to 5 decimal places behind the decimal point.
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# --hints--
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`euler398()` should return 2010.59096.
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```js
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assert.strictEqual(euler398(), 2010.59096);
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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 euler398() {
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return true;
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}
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euler398();
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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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