chore(learn): Applied MDX format to Chinese curriculum files (#40462)
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id: 5987fd532b954e0f21b5d3f6
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title: 均衡指数
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challengeType: 5
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videoUrl: ''
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title: 均衡指数
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---
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## Description
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<section id="description"><p>序列的平衡指数是序列的索引,使得较低指数处的元素之和等于较高指数处的元素之和。 </p><p>例如,在序列<big>$ A $中</big> : </p><p> :::: <big>$ A_0 = -7 $</big> </p><p> :::: <big>$ A_1 = 1 $</big> </p><p> :::: <big>$ A_2 = 5 $</big> </p><p> :::: <big>$ A_3 = 2 $</big> </p><p> :::: <big>$ A_4 = -4 $</big> </p><p> :::: <big>$ A_5 = 3 $</big> </p><p> :::: <big>$ A_6 = 0 $</big> </p><p> 3是均衡指数,因为: </p><p> :::: <big>$ A_0 + A_1 + A_2 = A_4 + A_5 + A_6 $</big> </p><p> 6也是均衡指数,因为: </p><p> :::: <big>$ A_0 + A_1 + A_2 + A_3 + A_4 + A_5 = 0 $</big> </p><p> (零元素之和为零) </p><p> 7不是均衡指数,因为它不是序列<big>$ A $</big>的有效索引。 </p><p>编写一个函数,给定一个序列,返回其平衡指数(如果有的话)。 </p><p>假设序列可能很长。 </p></section>
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# --description--
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## Instructions
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<section id="instructions">
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</section>
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<p>序列的平衡指数是序列的索引,使得较低指数处的元素之和等于较高指数处的元素之和。 </p><p>例如,在序列<big>$ A $中</big> : </p><p> :::: <big>$ A_0 = -7 $</big> </p><p> :::: <big>$ A_1 = 1 $</big> </p><p> :::: <big>$ A_2 = 5 $</big> </p><p> :::: <big>$ A_3 = 2 $</big> </p><p> :::: <big>$ A_4 = -4 $</big> </p><p> :::: <big>$ A_5 = 3 $</big> </p><p> :::: <big>$ A_6 = 0 $</big> </p><p> 3是均衡指数,因为: </p><p> :::: <big>$ A_0 + A_1 + A_2 = A_4 + A_5 + A_6 $</big> </p><p> 6也是均衡指数,因为: </p><p> :::: <big>$ A_0 + A_1 + A_2 + A_3 + A_4 + A_5 = 0 $</big> </p><p> (零元素之和为零) </p><p> 7不是均衡指数,因为它不是序列<big>$ A $</big>的有效索引。 </p><p>编写一个函数,给定一个序列,返回其平衡指数(如果有的话)。 </p><p>假设序列可能很长。 </p>
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## Tests
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<section id='tests'>
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# --hints--
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```yml
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tests:
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- text: <code>equilibrium</code>是一种功能。
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testString: assert(typeof equilibrium === 'function');
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- text: '<code>equilibrium([-7, 1, 5, 2, -4, 3, 0])</code> <code>[3,6]</code> <code>equilibrium([-7, 1, 5, 2, -4, 3, 0])</code>应该返回<code>[3,6]</code> 。'
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testString: assert.deepEqual(equilibrium(equilibriumTests[0]), ans[0]);
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- text: '<code>equilibrium([2, 4, 6])</code>应该返回<code>[]</code> 。'
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testString: assert.deepEqual(equilibrium(equilibriumTests[1]), ans[1]);
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- text: '<code>equilibrium([2, 9, 2])</code>应该返回<code>[1]</code> 。'
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testString: assert.deepEqual(equilibrium(equilibriumTests[2]), ans[2]);
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- text: '<code>equilibrium([1, -1, 1, -1, 1, -1, 1])</code>应该返回<code>[0,1,2,3,4,5,6]</code> 。'
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testString: assert.deepEqual(equilibrium(equilibriumTests[3]), ans[3]);
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- text: '<code>equilibrium([1])</code>应该返回<code>[0]</code> 。'
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testString: assert.deepEqual(equilibrium(equilibriumTests[4]), ans[4]);
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- text: '<code>equilibrium([])</code>应该返回<code>[]</code> 。'
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testString: assert.deepEqual(equilibrium(equilibriumTests[5]), ans[5]);
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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`equilibrium`是一种功能。
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```js
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function equilibrium (a) {
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// Good luck!
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}
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assert(typeof equilibrium === 'function');
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```
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</div>
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### After Test
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<div id='js-teardown'>
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`equilibrium([-7, 1, 5, 2, -4, 3, 0])` `[3,6]` `equilibrium([-7, 1, 5, 2, -4, 3, 0])`应该返回`[3,6]` 。
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```js
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console.info('after the test');
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assert.deepEqual(equilibrium(equilibriumTests[0]), ans[0]);
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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`equilibrium([2, 4, 6])`应该返回`[]` 。
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```js
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// solution required
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assert.deepEqual(equilibrium(equilibriumTests[1]), ans[1]);
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```
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/section>
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`equilibrium([2, 9, 2])`应该返回`[1]` 。
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```js
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assert.deepEqual(equilibrium(equilibriumTests[2]), ans[2]);
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```
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`equilibrium([1, -1, 1, -1, 1, -1, 1])`应该返回`[0,1,2,3,4,5,6]` 。
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```js
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assert.deepEqual(equilibrium(equilibriumTests[3]), ans[3]);
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```
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`equilibrium([1])`应该返回`[0]` 。
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```js
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assert.deepEqual(equilibrium(equilibriumTests[4]), ans[4]);
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```
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`equilibrium([])`应该返回`[]` 。
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```js
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assert.deepEqual(equilibrium(equilibriumTests[5]), ans[5]);
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```
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# --solutions--
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