单词搜索

回溯,往四个方向搜索

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/**
* @param {character[][]} board
* @param {string} word
* @return {boolean}
*/
var exist = function (board, word) {
const m = board.length;
const n = board[0].length;
let res = false;
// 构造访问数组
const visited = Array.from({ length: m }, () =>
Array.from({ length: n }, () => false)
);
function backtrack(path, cur, row, col) {
if (path[cur] !== word[cur]) {
return;
}
if (path === word) {
res = true;
return;
}
if (path.length > word.length) {
return;
}
// 上下左右四个方向
// 上 board[row-1][col]
// 下 board[row+1][col]
// 左 board[row][col-1]
// 右 board[row][col+1]
if (row - 1 >= 0 && !visited[row - 1][col]) {
visited[row - 1][col] = true;
backtrack(path + board[row - 1][col], cur + 1, row - 1, col);
visited[row - 1][col] = false;
}
if (row + 1 < m && !visited[row + 1][col]) {
visited[row + 1][col] = true;
backtrack(path + board[row + 1][col], cur + 1, row + 1, col);
visited[row + 1][col] = false;
}
if (col - 1 >= 0 && !visited[row][col - 1]) {
visited[row][col - 1] = true;
backtrack(path + board[row][col - 1], cur + 1, row, col - 1);
visited[row][col - 1] = false;
}
if (col + 1 < n && !visited[row][col + 1]) {
visited[row][col + 1] = true;
backtrack(path + board[row][col + 1], cur + 1, row, col + 1);
visited[row][col + 1] = false;
}
}
for (let row = 0; row < m; row++) {
for (let col = 0; col < n; col++) {
visited[row][col] = true;
backtrack(board[row][col], 0, row, col);
visited[row][col] = false;
}
}
return res;
};
console.log(
exist(
[
["A", "B", "C", "E"],
["S", "F", "C", "S"],
["A", "D", "E", "E"],
],
"ABCCED"
)
);

优化,传递位置匹配即可

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/**
* @param {character[][]} board
* @param {string} word
* @return {boolean}
*/
var exist = function (board, word) {
const m = board.length;
const n = board[0].length;
// 构造访问数组
const visited = Array.from({ length: m }, () =>
Array.from({ length: n }, () => false)
);
const dirs = [
[-1, 0], // 上
[1, 0], // 下
[0, -1], // 左
[0, 1], // 右
];
function backtrack(row, col, cur) {
// 已经被用过
if (board[row][col] !== word[cur]) return false;
if (cur === word.length - 1) return true;
visited[row][col] = true;
for (const [dx, dy] of dirs) {
const newRow = row + dx;
const newCol = col + dy;
if (
newRow >= 0 &&
newRow < m &&
newCol >= 0 &&
newCol < n &&
!visited[newRow][newCol]
) {
if (backtrack(newRow, newCol, cur + 1)) {
return true;
}
}
}
visited[row][col] = false;
return false;
}
for (let row = 0; row < m; row++) {
for (let col = 0; col < n; col++) {
if (backtrack(row, col, 0)) return true;
}
}
return false;
};
// console.log(
// exist(
// [
// ["A", "B", "C", "E"],
// ["S", "F", "C", "S"],
// ["A", "D", "E", "E"],
// ],
// "ABCCED"
// )
// );

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