单词搜索 II
“Word Search II”问题的详细指南和 Python 实现。
1. 学习
“Word Search II”问题是 Trie 部分的一个关键挑战。
此实现侧重于 Python 中的简单级逻辑。
在我们提供的解决方案中,我们优先考虑技术准确性和代码可读性。
2. Real-World Applications
3. Visual Intuition
可视化 Word Search II 的逻辑流程。
4. Prerequisites
5. Step-by-Step Thinking
1. Understand the problem
仔细阅读 Word Search II 的问题陈述。
2. Formulate brute force
起草一个简单的迭代解决方案。
3. Identify inefficiency
寻找冗余计算。
4. Optimize search path
使用散列或排序来加速该过程。
5. Final Implementation
清理生产标准代码。
问题陈述
给定一个 m x n 的字符板和一个字符串单词列表,返回板上的所有单词。
每个单词必须由顺序相邻单元格的字母构成,其中相邻单元格水平或垂直相邻。同一字母单元不得在一个单词中使用多次。
编写一个函数 findWords(board: List[List[str]], words: List[str]) -> List[str]。
- •m == len(board)
- •n == len(board[i])
- •1 <= m, n <= 12
- •board[i][j] is a lowercase English letter
- •1 <= len(words) <= 3 * 10^4
- •1 <= len(words[i]) <= 10
- •words consist of lowercase English letters
- •All the strings in words are unique
示例
board = [["o","a","a","n"],["e","t","a","e"],["i","h","k","r"],["i","f","l","v"]], words = ["oath","pea","eat","rain"]
["oath","eat"]
The words "oath" and "eat" can be found on the board. "pea" and "rain" cannot.
board = [["a","b"],["c","d"]], words = ["abcb"]
[]
The word "abcb" requires using the 'b' cell twice, which is invalid.
Need a Hint?
Edge Cases to Watch
- 空输入结构
- 单元素输入
- 大数值范围
准备好解决了吗?
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面试见解和变化
复杂性分析分解
为什么时间: Directly evaluates all possibilities.
为什么选择太空: Uses standard local memory.
为什么时间: Optimized paths reduce total operations.
为什么选择太空: May trade memory for speed.
优化解决方案Python代码
优化解决方案Python代码
class TrieNode:
def __init__(self):
self.children = {}
self.isWord = False
def addWord(self, word):
curr = self
for c in word:
if c not in curr.children: curr.children[c] = TrieNode()
curr = curr.children[c]
curr.isWord = True
def find_words_opt(board, words):
root = TrieNode()
for w in words: root.addWord(w)
ROWS, COLS = len(board), len(board[0])
res, visit = set(), set()
def dfs(r, c, node, word):
if r < 0 or r == ROWS or c < 0 or c == COLS or (r, c) in visit or board[r][c] not in node.children:
return
visit.add((r, c))
node = node.children[board[r][c]]
word += board[r][c]
if node.isWord: res.add(word)
for dr, dc in [[0, 1], [0, -1], [1, 0], [-1, 0]]:
dfs(r + dr, c + dc, node, word)
visit.remove((r, c))
for r in range(ROWS):
for c in range(COLS):
dfs(r, c, root, "")
return list(res)暴力破解代码(剧透保护)
暴力破解代码(剧透保护)
def find_words_brute(board, words):
def exist(word):
ROWS, COLS = len(board), len(board[0])
def dfs(r, c, i, visited):
if i == len(word): return True
if r < 0 or c < 0 or r >= ROWS or c >= COLS or (r, c) in visited or board[r][c] != word[i]:
return False
visited.add((r, c))
res = any(dfs(r+dr, c+dc, i+1, visited) for dr, dc in [[1,0],[-1,0],[0,1],[0,-1]])
visited.remove((r, c))
return res
return any(dfs(r, c, 0, set()) for r in range(ROWS) for c in range(COLS))
return [w for w in words if exist(w)]Algorithm Pattern Checklist
When dealing with Trie data patterns.
- Are constraints clear?
- Is there a linear or logarithmic optimization possible?
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