# 1858. Longest Word With All Prefixes

https://leetcode.com/problems/longest-word-with-all-prefixes

## Description

Given an array of strings `words`, find the **longest** string in `words` such that **every prefix** of it is also in `words`.

* For example, let `words = ["a", "app", "ap"]`. The string `"app"` has prefixes `"ap"` and `"a"`, all of which are in `words`.

Return _the string described above. If there is more than one string with the same length, return the **lexicographically smallest** one, and if no string exists, return_ `""`.

**Example 1:**

```

**Input:** words = ["k","ki","kir","kira", "kiran"]
**Output:** "kiran"
**Explanation:** "kiran" has prefixes "kira", "kir", "ki", and "k", and all of them appear in words.
```

**Example 2:**

```

**Input:** words = ["a", "banana", "app", "appl", "ap", "apply", "apple"]
**Output:** "apple"
**Explanation:** Both "apple" and "apply" have all their prefixes in words.
However, "apple" is lexicographically smaller, so we return that.
```

**Example 3:**

```

**Input:** words = ["abc", "bc", "ab", "qwe"]
**Output:** ""
```

**Constraints:**

* `1 <= words.length <= 105`
* `1 <= words[i].length <= 105`
* `1 <= sum(words[i].length) <= 105`

## ac

```java
```
