chore(i8n,learn): processed translations
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Mrugesh Mohapatra
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---
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id: 5900f5181000cf542c51002a
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title: 问题427:n序列
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title: 'Problem 427: n-sequences'
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challengeType: 5
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videoUrl: ''
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forumTopicId: 302097
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dashedName: problem-427-n-sequences
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---
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# --description--
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整数序列S = {si}如果具有n个元素,则每个元素满足1≤si≤n,则称为n序列。 因此,总共有nn个不同的n序列。
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A sequence of integers S = {si} is called an n-sequence if it has n elements and each element si satisfies 1 ≤ si ≤ n. Thus there are nn distinct n-sequences in total.
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例如,序列S = {1、5、5、10、7、7、7、2、3、7}是10个序列。
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For example, the sequence S = {1, 5, 5, 10, 7, 7, 7, 2, 3, 7} is a 10-sequence.
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对于任何序列S,令L(S)为具有相同值的S的最长连续存在的长度。 例如,对于上面给定的序列S,由于三个连续的7,L(S)= 3。
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For any sequence S, let L(S) be the length of the longest contiguous subsequence of S with the same value. For example, for the given sequence S above, L(S) = 3, because of the three consecutive 7's.
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对于所有n序列S,令f(n)= ∑ L(S)。
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Let f(n) = ∑ L(S) for all n-sequences S.
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例如,f(3)= 45,f(7)= 1403689和f(11)= 481496895121。
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For example, f(3) = 45, f(7) = 1403689 and f(11) = 481496895121.
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找出f(7,500,000)mod 1 000 009。
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Find f(7 500 000) mod 1 000 000 009.
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# --hints--
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`euler427()`应该返回97138867。
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`euler427()` should return 97138867.
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```js
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assert.strictEqual(euler427(), 97138867);
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