Project Notes

Maximum Subarray

3 min read

Nav: << previous: 52.N 皇后 II | next: 54.螺旋矩阵 >>

Description

tab: English
 
<p>Given an integer array <code>nums</code>, find the <span data-keyword="subarray-nonempty">subarray</span> with the largest sum, and return <em>its sum</em>.</p>
 
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
 
<pre>
<strong>Input:</strong> nums = [-2,1,-3,4,-1,2,1,-5,4]
<strong>Output:</strong> 6
<strong>Explanation:</strong> The subarray [4,-1,2,1] has the largest sum 6.
</pre>
 
<p><strong class="example">Example 2:</strong></p>
 
<pre>
<strong>Input:</strong> nums = [1]
<strong>Output:</strong> 1
<strong>Explanation:</strong> The subarray [1] has the largest sum 1.
</pre>
 
<p><strong class="example">Example 3:</strong></p>
 
<pre>
<strong>Input:</strong> nums = [5,4,-1,7,8]
<strong>Output:</strong> 23
<strong>Explanation:</strong> The subarray [5,4,-1,7,8] has the largest sum 23.
</pre>
 
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
 
<ul>
	<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= nums[i] &lt;= 10<sup>4</sup></code></li>
</ul>
 
<p>&nbsp;</p>
<p><strong>Follow up:</strong> If you have figured out the <code>O(n)</code> solution, try coding another solution using the <strong>divide and conquer</strong> approach, which is more subtle.</p>
 
 
 
---
 
[submissions](https://leetcode.com/problems/maximum-subarray/submissions/) | [solutions](https://leetcode.com/problems/maximum-subarray/solutions/)
 
 
tab: 中文
 
<p>给你一个整数数组 <code>nums</code> ，请你找出一个具有最大和的连续子数组（子数组最少包含一个元素），返回其最大和。</p>
 
<p><strong><span data-keyword="subarray-nonempty">子数组 </span></strong>是数组中的一个连续部分。</p>
 
<p>&nbsp;</p>
 
<p><strong>示例 1：</strong></p>
 
<pre>
<strong>输入：</strong>nums = [-2,1,-3,4,-1,2,1,-5,4]
<strong>输出：</strong>6
<strong>解释：</strong>连续子数组&nbsp;[4,-1,2,1] 的和最大，为&nbsp;6 。
</pre>
 
<p><strong>示例 2：</strong></p>
 
<pre>
<strong>输入：</strong>nums = [1]
<strong>输出：</strong>1
</pre>
 
<p><strong>示例 3：</strong></p>
 
<pre>
<strong>输入：</strong>nums = [5,4,-1,7,8]
<strong>输出：</strong>23
</pre>
 
<p>&nbsp;</p>
 
<p><strong>提示：</strong></p>
 
<ul>
	<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= nums[i] &lt;= 10<sup>4</sup></code></li>
</ul>
 
<p>&nbsp;</p>
 
<p><strong>进阶：</strong>如果你已经实现复杂度为 <code>O(n)</code> 的解法，尝试使用更为精妙的 <strong>分治法</strong> 求解。</p>
 
 
 
---
 
[提交记录](https://leetcode.cn/problems/maximum-subarray/submissions/) | [题解](https://leetcode.cn/problems/maximum-subarray/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

Graph View

Backlinks