代码随想录-图论

发布于:2024-04-12 ⋅ 阅读:(94) ⋅ 点赞:(0)
797.所有可能的路径:

. - 力扣(LeetCode)

class Solution {
    List<List<Integer>> ans=new LinkedList<>();
    List<Integer> list=new LinkedList<>();
    public List<List<Integer>> allPathsSourceTarget(int[][] graph) {
        list.add(0);
        backTracking(graph,0);
        return ans;
    }
    private void backTracking(int[][] graph,int x){
        if (x==graph.length-1){
            ans.add(new LinkedList<>(list));
        }
        for (int i = 0; i < graph[x].length; i++) {
            list.add(graph[x][i]);
            backTracking(graph,graph[x][i]);
            list.remove(list.size()-1);
        }
    }
}
岛屿数量:

. - 力扣(LeetCode)

深搜:

class Solution {
    int ans=0;
    int[] dx={0,1,-1,0};
    int[] dy={1,0,0,-1};
    public int numIslands(char[][] grid) {
        for (int i = 0; i < grid.length; i++) {
            for (int j = 0; j < grid[0].length; j++) {
                if (grid[i][j]=='1'){
                    ans++;
                    grid[i][j]='0';
                    backTracking(grid,i,j);
                }
            }
        }
        return ans;
    }
    private void backTracking(char[][] grid,int x,int y){
        for (int i = 0; i < 4; i++) {
            int newx=x+dx[i];
            int newy=y+dy[i];
            if (newx<0||newy<0||newx>=grid.length||newy>=grid[0].length||grid[newx][newy]=='0')continue;
            grid[newx][newy]='0';
            backTracking(grid,newx,newy);
        }
    }
}

广搜:

class Solution {
     int ans=0;
    int[] dx={0,1,-1,0};
    int[] dy={1,0,0,-1};
    public int numIslands(char[][] grid) {
        for (int i = 0; i < grid.length; i++) {
            for (int j = 0; j < grid[0].length; j++) {
                if (grid[i][j]=='1'){
                    ans++;
                    bfs(grid,new boolean[grid.length][grid[0].length],i,j);
                }
            }
        }
        return ans;
    }

    private void bfs(char[][] grid,boolean[][] vis,int x,int y) {
        Deque<Pair> pairDeque=new LinkedList<>();
        pairDeque.push(new Pair(x,y));
        while (!pairDeque.isEmpty()){
            Pair pair = pairDeque.pop();
            int x1 = pair.x;
            int y1 = pair.y;
            for (int i = 0; i < 4; i++) {
                int newx=x1+dx[i];
                int newy=y1+dy[i];
                if (newx<0||newy<0||newx>=grid.length||newy>=grid[0].length||grid[newx][newy]=='0'){
                    continue;
                }
                grid[newx][newy]='0';
                pairDeque.push(new Pair(newx,newy));
            }
        }
    }
    class Pair{
        int x;
        int y;

        public Pair(int x, int y) {
            this.x = x;
            this.y = y;
        }
    }
}
岛屿的最大面积:
 

. - 力扣(LeetCode)

 int max=0;
    int[] dx={0,1,-1,0};
    int[] dy={1,0,0,-1};
    int count=1;
    public int maxAreaOfIsland(int[][] grid) {
        for (int i = 0; i < grid.length; i++) {
            for (int j = 0; j < grid[0].length; j++) {
                if (grid[i][j]==1){
                    count=0;
                    dfs(grid,i,j);
                    max=Math.max(max,count);
                }
            }
        }
        return max;
    }
    private void dfs(int[][] grid,int x,int y){
        count++;
        grid[x][y]=0;
        for (int i = 0; i < 4; i++) {
            int newx=x+dx[i];
            int newy=y+dy[i];
            if (newx<0||newy<0||newx>=grid.length||newy>=grid[0].length||grid[newx][newy]==0){
                continue;
            }
            grid[newx][newy]=0;
            dfs(grid,newx,newy);
        }
    }

    public static void main(String[] args) {
        LeetCode695dfs leetCode695=new LeetCode695dfs();
        int max = leetCode695.maxAreaOfIsland(new int[][]{{1}});
        System.out.println(max);
    }
class Solution {
    int max=0;
    int[] dx={0,1,-1,0};
    int[] dy={1,0,0,-1};
    int count=1;
    public int maxAreaOfIsland(int[][] grid) {
        for (int i = 0; i < grid.length; i++) {
            for (int j = 0; j < grid[0].length; j++) {
                if (grid[i][j]==1){
                    count=0;
                    bfs(grid,i,j);
                    max=Math.max(count,max);
                }
            }
        }
        return max;
    }
    private void bfs(int[][] grid,int x,int y){
        Deque<pair> pairDeque=new LinkedList<>();
        pairDeque.push(new pair(x,y));
        grid[x][y]=0;
        while (!pairDeque.isEmpty()){
            pair pop = pairDeque.pop();
            count++;
            int x1 = pop.x;
            int y1 = pop.y;
            for (int i = 0; i < 4; i++) {
                int newx=x1+dx[i];
                int newy=y1+dy[i];
                if (newx<0||newy<0||newx>=grid.length||newy>=grid[0].length||grid[newx][newy]==0){
                    continue;
                }
                grid[newx][newy]=0;
                pairDeque.push(new pair(newx,newy));
            }
        }
    }
    
    class pair{
        int x;
        int y;

        public pair(int x, int y) {
            this.x = x;
            this.y = y;
        }
    }
}
1020:飞地的数量:

. - 力扣(LeetCode)

class Solution {
    int ans=0;
    int[] dx={0,1,-1,0};
    int[] dy={1,0,0,-1};
    boolean flag=true;
    public int numEnclaves(int[][] grid) {
        for (int i = 0; i < grid[0].length; i++) {
            if (grid[0][i]==1){
                grid[0][i]=0;
                dfs(grid,0,i);
            }
            if (grid[grid.length-1][i]==1){
                grid[grid.length-1][i]=0;
                dfs(grid,grid.length-1,i);
            }
        }
        for (int i = 0; i < grid.length; i++) {
            if (grid[i][0]==1){
                grid[i][0]=0;
                dfs(grid,i,0);
            }
            if (grid[i][grid[0].length-1]==1){
                grid[i][grid[0].length-1]=0;
                dfs(grid,i,grid[0].length-1);
            }
        }
        for (int i = 1; i < grid.length-1; i++) {
            for (int j = 1; j < grid[0].length-1; j++) {
                if (grid[i][j]==1) ans++;
            }
        }
        return ans;
    }
    private void dfs(int[][] grid,int x,int y){
        for (int i = 0; i < 4; i++) {
            int newx=x+dx[i];
            int newy=y+dy[i];
            if (newx<0||newy<0||newx>=grid.length||newy>=grid[0].length||grid[newx][newy]==0){
                continue;
            }
            grid[newx][newy]=0;
            dfs(grid,newx,newy);
        }
    }
}

 这题广搜更胜一筹:


public class LeetCode1020bfs {
    int ans=0;
    int[] dx={0,1,-1,0};
    int[] dy={1,0,0,-1};
    public int numEnclaves(int[][] grid) {
        for (int i = 0; i < grid[0].length; i++) {
            if (grid[0][i]==1){
                grid[0][i]=0;
                bfs(grid,0,i);
            }
            if (grid[grid.length-1][i]==1){
                grid[grid.length-1][i]=0;
                bfs(grid,grid.length-1,i);
            }
        }
        for (int i = 0; i < grid.length; i++) {
            if (grid[i][0]==1){
                grid[i][0]=0;
                bfs(grid,i,0);
            }
            if (grid[i][grid[0].length-1]==1){
                grid[i][grid[0].length-1]=0;
                bfs(grid,i,grid[0].length-1);
            }
        }
        for (int i = 1; i < grid.length-1; i++) {
            for (int j = 1; j < grid[0].length-1; j++) {
                if (grid[i][j]==1) ans++;
            }
        }
        return ans;
    }
    private void bfs(int[][] grid,int x,int y){
        Deque<pair> deque=new LinkedList<>();
        deque.push(new pair(x,y));
        grid[x][y]=0;
        while (!deque.isEmpty()){
            pair pop = deque.pop();
            int x1 = pop.x;
            int y1 = pop.y;
            for (int i = 0; i < 4; i++) {
                int newx=x1+dx[i];
                int newy=y1+dy[i];
                if (newx<0||newy<0||newx>=grid.length||newy>=grid[0].length||grid[newx][newy]==0){
                    continue;
                }
                grid[newx][newy]=0;
                deque.push(new pair(newx,newy));
            }
        }
    }
    class pair{
        int x;
        int y;

        public pair(int x, int y) {
            this.x = x;
            this.y = y;
        }
    }
}
被围绕的区域:

 . - 力扣(LeetCode)

class Solution {
    int[] dx={0,1,-1,0};
    int[] dy={1,0,0,-1};
    public void solve(char[][] board) {
        int[][] flag=new int[board.length][board[0].length];
        for (int i = 0; i < board.length; i++) {
            if (board[i][0]=='O'){
                dfs(board,i,0,flag);
            }
            if (board[i][board[0].length-1]=='O'){
                dfs(board,i,board[0].length-1,flag);
            }
        }
        for (int i = 0; i < board[0].length; i++) {
            if (board[0][i]=='O'){
                dfs(board,0,i,flag);
            }
            if (board[board.length-1][i]=='O'){
                dfs(board,board.length-1,i,flag);
            }
        }
        for (int i = 1; i <board.length-1 ; i++) {
            for (int j = 1; j < board[0].length-1; j++) {
                if (flag[i][j]==0&&board[i][j]=='O'){
                    board[i][j]='X';
                }
            }
        }
    }

    private void dfs(char[][] board, int x, int y, int[][] flag) {
        flag[x][y]=1;
        for (int i = 0; i < 4; i++) {
            int newx=x+dx[i];
            int newy=y+dy[i];
            if (newx<0||newy<0||newx>=board.length||newy>=board[0].length||board[newx][newy]=='X'||flag[newx][newy]==1){
                continue;
            }
            dfs(board,newx,newy,flag);
        }
    }
}

 


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