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1268\. Search Suggestions System
Medium
You are given an array of strings `products` and a string `searchWord`.
Design a system that suggests at most three product names from `products` after each character of `searchWord` is typed. Suggested products should have common prefix with `searchWord`. If there are more than three products with a common prefix return the three lexicographically minimums products.
Return _a list of lists of the suggested products after each character of_ `searchWord` _is typed_.
**Example 1:**
**Input:** products = ["mobile","mouse","moneypot","monitor","mousepad"], searchWord = "mouse"
**Output:**
[
["mobile","moneypot","monitor"],
["mobile","moneypot","monitor"],
["mouse","mousepad"],
["mouse","mousepad"],
["mouse","mousepad"]
]
**Explanation:** products sorted lexicographically = ["mobile","moneypot","monitor","mouse","mousepad"] After typing m and mo all products match and we show user ["mobile","moneypot","monitor"] After typing mou, mous and mouse the system suggests ["mouse","mousepad"]
**Example 2:**
**Input:** products = ["havana"], searchWord = "havana"
**Output:** [["havana"],["havana"],["havana"],["havana"],["havana"],["havana"]]
**Example 3:**
**Input:** products = ["bags","baggage","banner","box","cloths"], searchWord = "bags"
**Output:** [["baggage","bags","banner"],["baggage","bags","banner"],["baggage","bags"],["bags"]]
**Constraints:**
* `1 <= products.length <= 1000`
* `1 <= products[i].length <= 3000`
* 1 <= sum(products[i].length) <= 2 * 104
* All the strings of `products` are **unique**.
* `products[i]` consists of lowercase English letters.
* `1 <= searchWord.length <= 1000`
* `searchWord` consists of lowercase English letters.
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