2020-10-06 23:10:08 +05:30

2.5 KiB
Raw Blame History

id, challengeType, videoUrl, localeTitle
id challengeType videoUrl localeTitle
59c3ec9f15068017c96eb8a3 5 Farey序列

Description

编写一个返回n阶Farey序列的函数。该函数应该有一个参数n。它应该将序列作为数组返回。阅读以下内容了解更多详情

阶数n的Farey序列 F n是在0和1之间的完全减少的分数的序列当在最低阶段时具有小于或等于n的分母按照增大的大小排列。

Farey序列有时被错误地称为Farey系列。

每个Farey序列

:: *以值0开头由分数$ \ frac {0} {1} $表示

:: *以值1结尾由$ \ frac {1} {1} $分数表示。

订单1到5的Farey序列是

$ {\ bf \ it {F}} _ 1 = \ frac {0} {1}\ frac {1} {1} $

$ {\ bf \ it {F}} _ 2 = \ frac {0} {1}\ frac {1} {2}\ frac {1} {1} $

$ {\ bf \ it {F}} _ 3 = \ frac {0} {1}\ frac {1} {3}\ frac {1} {2}\ frac {2} {3}\ frac {1} {1} $

$ {\ bf \ it {F}} _ 4 = \ frac {0} {1}\ frac {1} {4}\ frac {1} {3}\ frac {1} {2}\ frac {2} {3}\ frac {3} {4}\ frac {1} {1} $

$ {\ bf \ it {F}} _ 5 = \ frac {0} {1}\ frac {1} {5}\ frac {1} {4}\ frac {1} {3}\ frac {2} {5}\ frac {1} {2}\ frac {3} {5}\ frac {2} {3}\ frac {3} {4}\ frac {4} {5 }\ frac {1} {1} $

Instructions

Tests

tests:
  - text: <code>farey</code>是一种功能。
    testString: assert(typeof farey === 'function');
  - text: <code>farey(3)</code>应该返回一个数组
    testString: assert(Array.isArray(farey(3)));
  - text: <code>farey(3)</code>应该返回<code>["1/3","1/2","2/3"]</code>
    testString: assert.deepEqual(farey(3), ["1/3","1/2","2/3"]);
  - text: <code>farey(4)</code>应该返回<code>["1/4","1/3","1/2","2/4","2/3","3/4"]</code>
    testString: assert.deepEqual(farey(4), ["1/4","1/3","1/2","2/4","2/3","3/4"]);
  - text: <code>farey(5)</code>应返回<code>["1/5","1/4","1/3","2/5","1/2","2/4","3/5","2/3","3/4","4/5"]</code>
    testString: assert.deepEqual(farey(5), ["1/5","1/4","1/3","2/5","1/2","2/4","3/5","2/3","3/4","4/5"]);

Challenge Seed

function farey (n) {
  // Good luck!
}

Solution

// solution required

/section>