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74 changes: 74 additions & 0 deletions solution/3000-3099/3073.Maximum Increasing Triplet Value/README.md
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# [3073. 最大递增三元组](https://leetcode.cn/problems/maximum-increasing-triplet-value)

[English Version](/solution/3000-3099/3073.Maximum%20Increasing%20Triplet%20Value/README_EN.md)

<!-- tags: -->

## 题目描述

<!-- 这里写题目描述 -->

<p>给定一个数组&nbsp;<code>nums</code>,返回满足 <code>i &lt; j &lt; k</code> 且 <code>nums[i] &lt; nums[j] &lt; nums[k]</code>&nbsp;的三元组 <code>(i, j, k)</code> <em>&nbsp;</em>的 <strong>最大值</strong><i>。</i></p>

<p>三元组&nbsp;<code>(i, j, k)</code> &nbsp;的&nbsp;<strong>值&nbsp;</strong>为&nbsp;<code>nums[i] - nums[j] + nums[k]</code>。</p>

<div id="gtx-trans" style="position: absolute; left: 274px; top: 102px;">
<div class="gtx-trans-icon">&nbsp;</div>
</div>

<p>&nbsp;</p>

<p><strong class="example">示例 1: </strong></p>

<pre>
输入:nums = [5,6,9]
输出:8
解释:对于一个递增的三元组,我们只有一个选择,那就是选择所有三个元素。三元组的值为 5 - 6 + 9 = 8。
</pre>

<p><strong class="example">示例 2: </strong></p>

<pre>
输入:nums = [1,5,3,6]
输出:4
解释:只有两个递增三元组:
(0, 1, 3):这个三元组的值为 nums[0] - nums[1] + nums[3] = 1 - 5 + 6 = 2。
(0, 2, 3):这个三元组的值为 nums[0] - nums[2] + nums[3] = 1 - 3 + 6 = 4。
因此答案是 4。
</pre>

<p>&nbsp;</p>

<p><strong>提示:</strong></p>

<ul>
<li><code>3 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>
<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>
<li>输入数据保证至少一个三元组满足给定条件。</li>
</ul>

## 解法

### 方法一

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```python

```

```java

```

```cpp

```

```go

```

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# [3073. Maximum Increasing Triplet Value](https://leetcode.com/problems/maximum-increasing-triplet-value)

[中文文档](/solution/3000-3099/3073.Maximum%20Increasing%20Triplet%20Value/README.md)

<!-- tags: -->

## Description

<p>Given an array <code>nums</code>, return <em>the <strong>maximum value</strong> of a triplet</em> <code>(i, j, k)</code> <em>such that</em> <code>i &lt; j &lt; k</code> <em>and</em> <code>nums[i] &lt; nums[j] &lt; nums[k]</code>.</p>

<p>The <strong>value</strong> of a triplet <code>(i, j, k)</code> is <code>nums[i] - nums[j] + nums[k]</code>.</p>

<div id="gtx-trans" style="position: absolute; left: 274px; top: 102px;">
<div class="gtx-trans-icon"> </div>
</div>

<p>&nbsp;</p>
<p><strong class="example">Example 1: </strong></p>

<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
<p><strong>Input: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">nums = [5,6,9] </span></p>

<p><strong>Output: </strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;">8 </span></p>

<p><strong>Explanation: </strong> We only have one choice for an increasing triplet and that is choosing all three elements. The value of this triplet would be <code>5 - 6 + 9 = 8</code>.</p>
</div>

<p><strong class="example">Example 2: </strong></p>

<div class="example-block" style="border-color: var(--border-tertiary); border-left-width: 2px; color: var(--text-secondary); font-size: .875rem; margin-bottom: 1rem; margin-top: 1rem; overflow: visible; padding-left: 1rem;">
<p><strong>Input:</strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> nums = [1,5,3,6] </span></p>

<p><strong>Output:</strong> <span class="example-io" style="font-family: Menlo,sans-serif; font-size: 0.85rem;"> 4 </span></p>

<p><strong>Explanation: </strong> There are only two increasing triplets:</p>

<p><code>(0, 1, 3)</code>: The value of this triplet is <code>nums[0] - nums[1] + nums[3] = 1 - 5 + 6 = 2</code>.</p>

<p><code>(0, 2, 3)</code>: The value of this triplet is <code>nums[0] - nums[2] + nums[3] = 1 - 3 + 6 = 4</code>.</p>

<p>Thus the answer would be <code>4</code>.</p>
</div>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
<li><code>3 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>
<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>
<li>The input is generated such that at least one triplet meets the given condition.</li>
</ul>

## Solutions

### Solution 1

<!-- tabs:start -->

```python

```

```java

```

```cpp

```

```go

```

<!-- tabs:end -->

<!-- end -->
49 changes: 25 additions & 24 deletions solution/README.md
Original file line number Diff line number Diff line change
Expand Up @@ -3059,30 +3059,31 @@
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## 版权

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