文章目录
- 79. 单词搜索:
-
- 样例 1:
- 样例 2:
- 样例 3:
- 提示:
- 进阶:
- 分析:
- 题解:
-
- rust:
- go:
- c++:
- python:
- java:
79. 单词搜索:
给定一个 m x n
二维字符网格 board
和一个字符串单词 word
。如果 word
存在于网格中,返回 true
;否则,返回 false
。
单词必须按照字母顺序,通过相邻的单元格内的字母构成,其中“相邻”单元格是那些水平相邻或垂直相邻的单元格。同一个单元格内的字母不允许被重复使用。
样例 1:
输入:
board = [["A","B","C","E"],["S","F","C","S"],["A","D","E","E"]], word = "ABCCED"
输出:
true
样例 2:
输入:
board = [["A","B","C","E"],["S","F","C","S"],["A","D","E","E"]], word = "SEE"
输出:
true
样例 3:
输入:
board = [["A","B","C","E"],["S","F","C","S"],["A","D","E","E"]], word = "ABCB"
输出:
false
提示:
- m == board.length
- n = board[i].length
- 1
- 1
- board 和 word 仅由大小写英文字母组成
进阶:
- 你可以使用搜索剪枝的技术来优化解决方案,使其在
board
更大的情况下可以更快解决问题?
分析:
- 面对这道算法题目,二当家的再次陷入了沉思。
- 需要尝试所有的可能,遍历是不可少的,使用循环或者递归,递归是首选,因为比较容易实现,深度优先,回溯,递归套娃大法好。
- 需要遍历每一个元素,然后开始从每个位置使用递归套娃大法,分别向上,下,左,右四个方向进行递归,重复操作,直到匹配成功,或者匹配失败就回溯尝试其他,需要注意的是不走重复的位置,所以需要一个结构标记已经走过的位置,使用和原二维字符网格相同大小的结构比较容易,空间上应该还可以优化,但是没有深究,因为空间上并没有浪费,如果做优化,肯定是以牺牲效率为代价,所谓时间换空间,我不要换。
题解:
rust:
impl Solution {
pub fn exist(board: VecVecchar>>, word: String) -> bool {
fn check(board: &VecVecchar>>, word: &Vecchar>, idx: usize, visited: &mut VecVecbool>>, r: usize, c: usize) -> bool {
if r >= visited.len() || c >= visited[0].len() || visited[r][c] || board[r][c] != word[idx] {
return false;
}
if idx == word.len() - 1 {
// 完全匹配
return true;
}
visited[r][c] = true;
// 上下左右递归套娃大法
if check(board, word, idx + 1, visited, r - 1, c)
|| check(board, word, idx + 1, visited, r + 1, c)
|| check(board, word, idx + 1, visited, r, c - 1)
|| check(board, word, idx + 1, visited, r, c + 1)
{
return true;
}
visited[r][c] = false;
return false;
}
let word = word.chars().collect::Vec_>>();
let mut visited = vec![vec![false; board[0].len()]; board.len()];
for r in 0..board.len() {
for c in 0..board[0].len() {
if check(&board, &word, 0, &mut visited, r, c) {
return true;
}
}
}
return false;
}
}
go:
func exist(board [][]byte, word string) bool {
visited := make([][]bool, len(board))
for i := range visited {
visited[i] = make([]bool, len(board[0]))
}
var check func(idx, r, c int) bool
check = func(idx, r, c int) bool {
if r 0 || r >= len(board) || c 0 || c >= len(board[0]) || visited[r][c] || board[r][c] != word[idx] {
return false
}
if idx == len(word)-1 {
// 完全匹配
return true
}
visited[r][c] = true
// 上下左右递归套娃大法
if check(idx+1, r-1, c) || check(idx+1, r+1, c) || check(idx+1, r, c-1) || check(idx+1, r, c+1) {
return true
}
visited[r][c] = false
return false
}
for r, row := range board {
for c := range row {
if check(0, r, c) {
return true
}
}
}
return false
}
c++:
class Solution {
private:
bool check(vectorvectorchar>>& board, string& word, int idx, vectorvectorbool>>& visited, int r, int c) {
if (r 0 || r >= visited.size() || c 0 || c >= visited[0].size() || visited[r][c] || board[r][c] != word[idx]) {
return false;
}
if (idx == word.size() - 1) {
// 完全匹配
return true;
}
visited[r][c] = true;
// 上下左右递归套娃大法
if (check(board, word, idx + 1, visited, r - 1, c)
|| check(board, word, idx + 1, visited, r + 1, c)
|| check(board, word, idx + 1, visited, r, c - 1)
|| check(board, word, idx + 1, visited, r, c + 1)) {
return true;
}
visited[r][c] = false;
return false;
}
public:
bool exist(vectorvectorchar>>& board, string word) {
vectorvectorbool>> visited(board.size(), vectorbool>(board[0].size(), false));
for (int r = 0; r board.size(); ++r) {
for (int c = 0; c board[0].size(); ++c) {
if (check(board, word, 0, visited, r, c)) {
return true;
}
}
}
return false;
}
};
python:
class Solution:
def exist(self, board: List[List[str]], word: str) -> bool:
def check(idx: int, r: int, c: int) -> bool:
if r 0 or r >= len(board) or c 0 or c >= len(board[0]) or visited[r][c] or board[r][c] != word[idx]:
return False
if idx == len(word) - 1:
return True
visited[r][c] = True
if check(idx + 1, r - 1, c) or check(idx + 1, r + 1, c) or check(idx + 1, r, c - 1) or check(idx + 1, r, c + 1):
return True
visited[r][c] = False
return False
visited = [[False] * len(board[0]) for _ in range(len(board))]
for r in range(len(board)):
for c in range(len(board[0])):
if check(0, r, c):
return True
return False
java:
class Solution {
public boolean exist(char[][] board, String word) {
boolean[][] visited = new boolean[board.length][board[0].length];
for (int r = 0; r board.length; ++r) {
for (int c = 0; c board[0].length; ++c) {
if (check(board, word, 0, visited, r, c)) {
return true;
}
}
}
return false;
}
private boolean check(char[][] board, String word, int idx, boolean[][] visited, int r, int c) {
if (r 0 || r >= visited.length || c 0 || c >= visited[0].length || visited[r][c] || board[r][c] != word.charAt(idx)) {
return false;
}
if (idx == word.length() - 1) {
// 完全匹配
return true;
}
visited[r][c] = true;
// 上下左右递归套娃大法
if (check(board, word, idx + 1, visited, r - 1, c)
|| check(board, word, idx + 1, visited, r + 1, c)
|| check(board, word, idx + 1, visited, r, c - 1)
|| check(board, word, idx + 1, visited, r, c + 1)) {
return true;
}
visited[r][c] = false;
return false;
}
}
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