chore(i8n,learn): processed translations
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Mrugesh Mohapatra
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---
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id: 5900f4601000cf542c50ff73
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title: 问题243:恢复力
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title: 'Problem 243: Resilience'
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challengeType: 5
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videoUrl: ''
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forumTopicId: 301890
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dashedName: problem-243-resilience
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---
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# --description--
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分子小于其分母的正分数称为适当分数。对于任何分母,d,将有d-1个适当的分数;例如,d = 12:1 / 12,2 / 12,3 / 12,4 / 12,5 / 12,6 / 12,7 / 12,8 / 12,9 / 12,10 / 12,11 / 12。
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A positive fraction whose numerator is less than its denominator is called a proper fraction.
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我们将称一个无法取消弹性部分的分数。此外,我们将分母R(d)的弹性定义为具有弹性的适当分数的比率;例如,R(12)= 4/11。事实上,d = 12是具有弹性R(d)<4/10的最小分母。
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For any denominator, d, there will be d−1 proper fractions; for example, with d = 12:1/12 , 2/12 , 3/12 , 4/12 , 5/12 , 6/12 , 7/12 , 8/12 , 9/12 , 10/12 , 11/12 .
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找到最小分母d,具有弹性R(d)<15499/94744。
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We shall call a fraction that cannot be cancelled down a resilient fraction. Furthermore we shall define the resilience of a denominator, R(d), to be the ratio of its proper fractions that are resilient; for example, R(12) = 4/11 . In fact, d = 12 is the smallest denominator having a resilience R(d) < 4/10 .
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Find the smallest denominator d, having a resilience R(d) < 15499/94744 .
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# --hints--
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`euler243()`应该返回892371480。
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`euler243()` should return 892371480.
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```js
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assert.strictEqual(euler243(), 892371480);
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