Nav: << previous: 201.数字范围按位与 | next: 203.移除链表元素 >>
Description
tab: English
<p>Write an algorithm to determine if a number <code>n</code> is happy.</p>
<p>A <strong>happy number</strong> is a number defined by the following process:</p>
<ul>
<li>Starting with any positive integer, replace the number by the sum of the squares of its digits.</li>
<li>Repeat the process until the number equals 1 (where it will stay), or it <strong>loops endlessly in a cycle</strong> which does not include 1.</li>
<li>Those numbers for which this process <strong>ends in 1</strong> are happy.</li>
</ul>
<p>Return <code>true</code> <em>if</em> <code>n</code> <em>is a happy number, and</em> <code>false</code> <em>if not</em>.</p>
<p> </p>
<p><strong class="example">Example 1:</strong></p>
<pre>
<strong>Input:</strong> n = 19
<strong>Output:</strong> true
<strong>Explanation:</strong>
1<sup>2</sup> + 9<sup>2</sup> = 82
8<sup>2</sup> + 2<sup>2</sup> = 68
6<sup>2</sup> + 8<sup>2</sup> = 100
1<sup>2</sup> + 0<sup>2</sup> + 0<sup>2</sup> = 1
</pre>
<p><strong class="example">Example 2:</strong></p>
<pre>
<strong>Input:</strong> n = 2
<strong>Output:</strong> false
</pre>
<p> </p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>1 <= n <= 2<sup>31</sup> - 1</code></li>
</ul>
---
[submissions](https://leetcode.com/problems/happy-number/submissions/) | [solutions](https://leetcode.com/problems/happy-number/solutions/)
tab: 中文
<p>编写一个算法来判断一个数 <code>n</code> 是不是快乐数。</p>
<p><strong>「快乐数」</strong> 定义为:</p>
<ul>
<li>对于一个正整数,每一次将该数替换为它每个位置上的数字的平方和。</li>
<li>然后重复这个过程直到这个数变为 1,也可能是 <strong>无限循环</strong> 但始终变不到 1。</li>
<li>如果这个过程 <strong>结果为</strong> 1,那么这个数就是快乐数。</li>
</ul>
<p>如果 <code>n</code> 是 <em>快乐数</em> 就返回 <code>true</code> ;不是,则返回 <code>false</code> 。</p>
<p> </p>
<p><strong>示例 1:</strong></p>
<pre>
<strong>输入:</strong>n = 19
<strong>输出:</strong>true
<strong>解释:
</strong>1<sup>2</sup> + 9<sup>2</sup> = 82
8<sup>2</sup> + 2<sup>2</sup> = 68
6<sup>2</sup> + 8<sup>2</sup> = 100
1<sup>2</sup> + 0<sup>2</sup> + 0<sup>2</sup> = 1
</pre>
<p><strong>示例 2:</strong></p>
<pre>
<strong>输入:</strong>n = 2
<strong>输出:</strong>false
</pre>
<p> </p>
<p><strong>提示:</strong></p>
<ul>
<li><code>1 <= n <= 2<sup>31</sup> - 1</code></li>
</ul>
---
[提交记录](https://leetcode.cn/problems/happy-number/submissions/) | [题解](https://leetcode.cn/problems/happy-number/solution/)
Solutions & Notes
properties:
note.updated:
displayName: Last Updated
note.relative_links:
displayName: Related Links
note.desc:
displayName: Description
note.grade:
displayName: Rating
note.program_language:
displayName: Language
note.time_complexity:
displayName: TC
note.space_complexity:
displayName: SC
views:
- type: table
name: Solutions & Notes
filters:
and:
- file.hasLink(this.file)
- file.tags.containsAny("leetcode/solution", "leetcode/note")
order:
- file.name
- desc
- program_language
- time_complexity
- space_complexity
- grade
- relative_links
- updated
sort:
- property: grade
direction: ASC
- property: time_complexity
direction: ASC
- property: program_language
direction: ASC
columnSize:
file.name: 104
note.space_complexity: 65
note.grade: 126
Similar Problems
properties:
note.lcTopics:
displayName: Topics
note.lcAcRate:
displayName: AC Rate
note.favorites:
displayName: Favorites
note.grade:
displayName: Rating
note.translatedTitle:
displayName: Title (CN)
note.lcDifficulty:
displayName: Difficulty
views:
- type: table
name: Similar Problems
filters:
and:
- file.hasLink(this.file)
- similarQuestions.contains(this.file)
order:
- file.name
- translatedTitle
- lcTopics
- lcDifficulty
- lcAcRate
- grade
- favorites
sort:
- property: file.name
direction: ASC
- property: lcTopics
direction: DESC
columnSize:
note.translatedTitle: 240
note.lcTopics: 347
note.lcAcRate: 75
note.grade: 122