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# 1143. Longest Common Subsequence

<https://leetcode.com/problems/longest-common-subsequence>

## Description

Given two strings `text1` and `text2`, return *the length of their longest **common subsequence**.* If there is no **common subsequence**, return `0`.

A **subsequence** of a string is a new string generated from the original string with some characters (can be none) deleted without changing the relative order of the remaining characters.

* For example, `"ace"` is a subsequence of `"abcde"`.

A **common subsequence** of two strings is a subsequence that is common to both strings.

**Example 1:**

```
**Input:** text1 = "abcde", text2 = "ace" 
**Output:** 3  
**Explanation:** The longest common subsequence is "ace" and its length is 3.
```

**Example 2:**

```
**Input:** text1 = "abc", text2 = "abc"
**Output:** 3
**Explanation:** The longest common subsequence is "abc" and its length is 3.
```

**Example 3:**

```
**Input:** text1 = "abc", text2 = "def"
**Output:** 0
**Explanation:** There is no such common subsequence, so the result is 0.
```

**Constraints:**

* `1 <= text1.length, text2.length <= 1000`
* `text1` and `text2` consist of only lowercase English characters.

## ac

```java
```
