Search Suggestions System

Statement

Given an array of strings called products and a word to search, design a system that, when each character of the searched word is typed, suggests at most three product names from products. Suggested products should share a common prefix with the searched word. If more than three products exist with a common prefix, return the three product names that appear first in lexicographical order.

Return the suggested products, which will be an array of arrays after each character of searched word is typed.

Constraints:

• $1 \leq$ products.length $\leq 1000$
• $1 \leq$ products[i].length $\leq 3000$
• $1 \leq$ sum(products[i].length) $\leq 2 \times 10^3$
• All the strings of products are unique.
• products[i] consists of lowercase English letters.
• $1 \leq$ searched word.length $\leq 1000$
• The searched word consists of lowercase English letters.

Examples