From af4df3331e04a23e954af292936b8ab843f9fc7a Mon Sep 17 00:00:00 2001 From: CyC2018 Date: Fri, 30 Oct 2026 20:17:59 +0800 Subject: [PATCH] =?UTF-8?q?Update=2013.=20=E6=9C=BA=E5=99=A8=E4=BA=BA?= =?UTF-8?q?=E7=9A=84=E8=BF=90=E5=8A=A8=E8=8C=83=E5=9B=B4.md?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 补充机器人可达范围配图与连通性分析,调整 DFS 遍历与回溯机制的说明。补充力扣对应题目的规则说明,并更新代码初始化。 --- notes/13. 机器人的运动范围.md | 11 ++++++++++- notes/pics/offer13-robot-reach.png | Bin 0 -> 106400 bytes 2 files changed, 10 insertions(+), 1 deletion(-) create mode 100644 notes/pics/offer13-robot-reach.png diff --git a/notes/13. 机器人的运动范围.md b/notes/13. 机器人的运动范围.md index 58066d50..59ec867d 100644 --- a/notes/13. 机器人的运动范围.md +++ b/notes/13. 机器人的运动范围.md @@ -10,7 +10,15 @@ ## 解题思路 -使用深度优先搜索(Depth First Search,DFS)方法进行求解。回溯是深度优先搜索的一种特例,它在一次搜索过程中需要设置一些本次搜索过程的局部状态,并在本次搜索结束之后清除状态。而普通的深度优先搜索并不需要使用这些局部状态,虽然还是有可能设置一些全局状态。 +需要注意的是,答案不是“数位和不大于 k 的格子数”。机器人只能一格一格地走,满足条件的格子如果被不满足条件的格子隔开,就到不了。例如 m = n = 20、k = 5 时,满足条件的格子有 61 个,能到达的只有 21 个: + +

+ +因此要从 (0, 0) 出发搜索,只统计能走到的格子。使用深度优先搜索(Depth First Search,DFS):进入一个格子时先标记,避免重复计数;数位和超过 k 的格子不计数,也不再从它往外走。每个格子最多访问一次,时间复杂度 O(MN)。 + +回溯是深度优先搜索的一种特例,它在一次搜索过程中需要设置一些本次搜索过程的局部状态,并在本次搜索结束之后清除状态。本题的标记是全局的,走到过的格子不需要再走,所以搜索结束后不清除标记,这一点和[矩阵中的路径](12.%20矩阵中的路径.md)不同。 + +力扣上对应的 LCR 130 只允许向右和向下移动。按本题的数位和规则,在它的数据范围(m、n ≤ 100,k ≤ 20)内,两种走法能到达的格子相同,下面的代码同样适用。 ```java private static final int[][] next = {{0, -1}, {0, 1}, {-1, 0}, {1, 0}}; @@ -24,6 +32,7 @@ public int wardrobeFinishing(int m, int n, int cnt) { this.rows = m; this.cols = n; this.threshold = cnt; + this.res = 0; initDigitSum(); boolean[][] marked = new boolean[rows][cols]; dfs(marked, 0, 0); diff --git a/notes/pics/offer13-robot-reach.png b/notes/pics/offer13-robot-reach.png new file mode 100644 index 0000000000000000000000000000000000000000..6272c8a2b5e5d2ca98ca3209b2891e49a4e0dc01 GIT binary patch literal 106400 zcmXVYbwHF~_O}VBASxjWf*?pqN~d&5cY}aPch^^GP()H%8fFLqX&D3r6r@X9y1V;5 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