From efaa04f8e291391d2892c1ea47f111ecee3d2430 Mon Sep 17 00:00:00 2001 From: zhicheng lee <904688436@qq.com> Date: Wed, 7 Sep 2022 23:14:26 +0800 Subject: [PATCH] =?UTF-8?q?=E6=9B=B4=E6=96=B0=200063.=E4=B8=8D=E5=90=8C?= =?UTF-8?q?=E8=B7=AF=E5=BE=84II.md=20Java=E4=BB=A3=E7=A0=81?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 原Java代码修改为更加清晰简明的代码 添加空间优化版本的代码 --- problems/0063.不同路径II.md | 58 +++++++++++++++++++++++++-------- 1 file changed, 44 insertions(+), 14 deletions(-) diff --git a/problems/0063.不同路径II.md b/problems/0063.不同路径II.md index c7326b63..6b81225c 100644 --- a/problems/0063.不同路径II.md +++ b/problems/0063.不同路径II.md @@ -210,24 +210,54 @@ public: ```java class Solution { public int uniquePathsWithObstacles(int[][] obstacleGrid) { - int n = obstacleGrid.length, m = obstacleGrid[0].length; - int[][] dp = new int[n][m]; - - for (int i = 0; i < m; i++) { - if (obstacleGrid[0][i] == 1) break; //一旦遇到障碍,后续都到不了 - dp[0][i] = 1; + int m = obstacleGrid.length; + int n = obstacleGrid[0].length; + int[][] dp = new int[m][n]; + + //如果在起点或终点出现了障碍,直接返回0 + if (obstacleGrid[m - 1][n - 1] == 1 || obstacleGrid[0][0] == 1) { + return 0; } - for (int i = 0; i < n; i++) { - if (obstacleGrid[i][0] == 1) break; ////一旦遇到障碍,后续都到不了 - dp[i][0] = 1; + + for (int i = 0; i < m && obstacleGrid[i][0] == 0; i++) { + dp[i][0] = 1; } - for (int i = 1; i < n; i++) { - for (int j = 1; j < m; j++) { - if (obstacleGrid[i][j] == 1) continue; - dp[i][j] = dp[i - 1][j] + dp[i][j - 1]; + for (int j = 0; j < n && obstacleGrid[0][j] == 0; j++) { + dp[0][j] = 1; + } + + for (int i = 1; i < m; i++) { + for (int j = 1; j < n; j++) { + dp[i][j] = (obstacleGrid[i][j] == 0) ? dp[i - 1][j] + dp[i][j - 1] : 0; } } - return dp[n - 1][m - 1]; + return dp[m - 1][n - 1]; + } +} +``` + +```java +// 空间优化版本 +class Solution { + public int uniquePathsWithObstacles(int[][] obstacleGrid) { + int m = obstacleGrid.length; + int n = obstacleGrid[0].length; + int[] dp = new int[n]; + + for (int j = 0; j < n && obstacleGrid[0][j] == 0; j++) { + dp[j] = 1; + } + + for (int i = 1; i < m; i++) { + for (int j = 0; j < n; j++) { + if (obstacleGrid[i][j] == 1) { + dp[j] = 0; + } else if (j != 0) { + dp[j] += dp[j - 1]; + } + } + } + return dp[n - 1]; } } ```