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Word Search II

Asked at:AmazonGoogleMicrosoft

Given an m×n board of characters and a list of words, return all words that exist in the board. Each word must be formed from sequentially adjacent cells (horizontal or vertical), and each cell may not be reused within a single word.

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Problem

Given an m x n board of characters and a list of strings words, return all words on the board.

Input

A 2D character grid `board` and an array of strings `words`.

Output

All words from the list that can be found in the board (in any order, no duplicates).

Examples

Input: board = [["o","a","a","n"],["e","t","a","e"],["i","h","k","r"],["i","f","l","v"]], words = ["oath","pea","eat","rain"]

Output: ["eat","oath"]

"eat" can be found starting at (1,3) going left. "oath" starts at (0,3) going down. "pea" and "rain" cannot be formed.

The brute-force approach

For each word, run Word Search I (DFS with backtracking). Return all words that return true.

result = []
for word in words:
    if wordSearch(board, word):
        result.append(word)
return result

O(words × m × n × 4^L) where L = max word length. You repeat the full board search for every word independently. Common prefixes are re-explored from scratch each time.

Time: O(words × m × n × 4^L)Space: O(total letters in all words)

Spotting the pattern

This is a Trie problem. The key question to ask yourself:

How does searching all words simultaneously (via Trie) reduce redundant work compared to searching one word at a time?

Answering that is where it clicks, and it's exactly what the guided walkthrough below builds with you: the pattern reasoning, a progressive hint ladder that never spoils the answer, a row-by-row dry run, the optimized solution, and an in-browser editor to run your code against real test cases.

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