From 33eca1635693f64d0eeb6d7c477093665dded20b Mon Sep 17 00:00:00 2001 From: Terry Liu <102352821+Lozakaka@users.noreply.github.com> Date: Sat, 24 Jun 2023 20:18:36 -0400 Subject: [PATCH] =?UTF-8?q?=E6=96=B0=E5=A2=9Ejava=E8=A7=A3=E6=B3=95?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 1. 調整語言順序 2. 新增java - DFS, java - BFS解法 --- problems/0695.岛屿的最大面积.md | 162 ++++++++++++++++++++----- 1 file changed, 129 insertions(+), 33 deletions(-) diff --git a/problems/0695.岛屿的最大面积.md b/problems/0695.岛屿的最大面积.md index e5deb897..37a601bc 100644 --- a/problems/0695.岛屿的最大面积.md +++ b/problems/0695.岛屿的最大面积.md @@ -189,6 +189,135 @@ public: ``` # 其它语言版本 +## Java +### DFS +```java +// DFS +class Solution { + int[][] dir = { + {0, 1}, //right + {1, 0}, //down + {0, -1}, //left + {-1, 0} //up + }; + boolean visited[][]; + int count; + public int maxAreaOfIsland(int[][] grid) { + int res = 0; + visited = new boolean[grid.length][grid[0].length]; + for(int i = 0; i < grid.length; i++){ + for(int j = 0; j < grid[0].length; j++){ + if(visited[i][j] == false && grid[i][j] == 1){ + count = 0; + dfs(grid, i, j); + res = Math.max(res, count); + } + } + } + return res; + } + private void dfs(int[][] grid, int x, int y){ + if(visited[x][y] == true || grid[x][y] == 0) + return; + + visited[x][y] = true; + count++; + + for(int i = 0; i < 4; i++){ + int nextX = x + dir[i][0]; + int nextY = y + dir[i][1]; + + if(nextX < 0 || nextY < 0 || nextX >= grid.length || nextY >= grid[0].length) + continue; + dfs(grid, nextX, nextY); + } + } +} + + +``` +### BFS +```java +//BFS +class Solution { + int[][] dir = { + {0, 1}, {1, 0}, {0, -1}, {-1, 0} + }; + + int count; + boolean visited[][]; + + public int maxAreaOfIsland(int[][] grid) { + int res = 0; + visited = new boolean[grid.length][grid[0].length]; + + for(int i = 0; i < grid.length; i++){ + for(int j = 0; j < grid[0].length; j++){ + if(visited[i][j] == false && grid[i][j] == 1){ + count = 0; + bfs(grid, i, j); + res = Math.max(res, count); + } + } + } + return res; + } + private void bfs(int[][] grid, int x, int y){ + Queue que = new LinkedList<>(); + que.offer(x); + que.offer(y); + visited[x][y] = true; + count++; + + while(!que.isEmpty()){ + int currX = que.poll(); + int currY = que.poll(); + + for(int i = 0; i < 4; i++){ + int nextX = currX + dir[i][0]; + int nextY = currY + dir[i][1]; + + if(nextX < 0 || nextY < 0 || nextX >= grid.length || nextY >= grid[0].length) + continue; + if(visited[nextX][nextY] == false && grid[nextX][nextY] == 1){ + que.offer(nextX); + que.offer(nextY); + visited[nextX][nextY] = true; + count++; + } + } + } + } +} +``` +### DFS 優化(遇到島嶼後,就把他淹沒) +```java +//这里使用深度优先搜索 DFS 来完成本道题目。我们使用 DFS 计算一个岛屿的面积,同时维护计算过的最大的岛屿面积。同时,为了避免对岛屿重复计算,我们在 DFS 的时候对岛屿进行 “淹没” 操作,即将岛屿所占的地方置为 0。 +public int maxAreaOfIsland(int[][] grid) { + int res = 0; + for(int i = 0;i < grid.length;i++){ + for(int j = 0;j < grid[0].length;j++){ + //每遇到一个岛屿就计算这个岛屿的面积同时”淹没“这个岛屿 + if(grid[i][j] == 1){ + //每次计算一个岛屿的面积都要与res比较,维护最大的岛屿面积作为最后的答案 + res = Math.max(res,dfs(grid,i,j)); + } + } + } + return res; +} +public int dfs(int[][] grid,int i,int j){ + //搜索边界:i,j超过grid的范围或者当前元素为0,即当前所在的地方已经是海洋 + if(i < 0 || i >= grid.length || j < 0 || j >= grid[0].length || grid[i][j] == 0) return 0; + //淹没土地,防止后续被重复计算 + grid[i][j] = 0; + //递归的思路:要求当前土地(i,j)所在的岛屿的面积,则等于1加上下左右相邻的土地的总面积 + return 1 + dfs(grid,i - 1,j) + + dfs(grid,i + 1,j) + + dfs(grid,i,j + 1) + + dfs(grid,i,j - 1); +} +``` ## Python ### BFS @@ -261,39 +390,6 @@ class Solution: if 0 <= new_x < len(grid) and 0 <= new_y < len(grid[0]): self.dfs(grid, visited, new_x, new_y) ``` - - - -## Java - -这里使用深度优先搜索 DFS 来完成本道题目。我们使用 DFS 计算一个岛屿的面积,同时维护计算过的最大的岛屿面积。同时,为了避免对岛屿重复计算,我们在 DFS 的时候对岛屿进行 “淹没” 操作,即将岛屿所占的地方置为 0。 - -```java -public int maxAreaOfIsland(int[][] grid) { - int res = 0; - for(int i = 0;i < grid.length;i++){ - for(int j = 0;j < grid[0].length;j++){ - //每遇到一个岛屿就计算这个岛屿的面积同时”淹没“这个岛屿 - if(grid[i][j] == 1){ - //每次计算一个岛屿的面积都要与res比较,维护最大的岛屿面积作为最后的答案 - res = Math.max(res,dfs(grid,i,j)); - } - } - } - return res; -} -public int dfs(int[][] grid,int i,int j){ - //搜索边界:i,j超过grid的范围或者当前元素为0,即当前所在的地方已经是海洋 - if(i < 0 || i >= grid.length || j < 0 || j >= grid[0].length || grid[i][j] == 0) return 0; - //淹没土地,防止后续被重复计算 - grid[i][j] = 0; - //递归的思路:要求当前土地(i,j)所在的岛屿的面积,则等于1加上下左右相邻的土地的总面积 - return 1 + dfs(grid,i - 1,j) + - dfs(grid,i + 1,j) + - dfs(grid,i,j + 1) + - dfs(grid,i,j - 1); -} -```