力扣-图论

797. 所有可能的路径

class Solution:
    def __init__(self):
        self.res = []
        # self.path = [0]

    def allPathsSourceTarget(self, graph: List[List[int]]) -> List[List[int]]:
        path = [0]
        
        # l = set()
        self.tracebacking( graph, 0, path)
        return self.res


    def tracebacking(self, graph, node, path):
        if(node == len(graph)-1):
            self.res.append(path[:])
            # print(self.res)
            return
        
        for index, node in enumerate(graph[node]):
            path.append(node)
            self.tracebacking( graph, node, path)
            path.pop()
        

200. 岛屿数量

class Solution:
    def __init__(self):
        self.dir = [[0,1],# right
                    [1,0],#down
                    [-1,0],#up
                    [0,-1]]#left
    def numIslands(self, grid: List[List[str]]) -> int:
        m = len(grid) #hang
        n = len(grid[0])#lie
        print(m, n)
        visited = [[False]*n for _ in range(m)]

        result = 0
        for i in range(m):
            for j in range(n):
                # print( grid[i][j] == 1))
                if visited[i][j] == False and grid[i][j] == "1":
                    
                    self.dfs(grid, visited, i, j)
                    #self.bfs(grid, visited, i, j)
                    result += 1
        # print(visited)
        return result
    
    def dfs(self, grid, visited, x, y):
        if grid[x][y] == "0" or visited[x][y] == True:
            return
        visited[x][y] = True

        for i in range(4):
            nextx = x + self.dir[i][0]
            nexty = y + self.dir[i][1]
            if nextx<0 or nextx>=len(grid) or nexty<0 or nexty>=len(grid[0]):
                continue
            self.dfs(grid, visited, nextx, nexty)


  def bfs(self, grid, visited, x, y):
        q = deque()
        q.append((x, y))
        visited[x][y] = True
        while q:
            x, y = q.popleft()
            # print(x,y)
            for i in range(4):
                nextx = x + self.dir[i][0]
                nexty = y + self.dir[i][1]
                if nextx<0 or nextx>=len(grid) or nexty<0 or nexty>=len(grid[0]) or visited[nextx][nexty] == True or grid[nextx][nexty] == "0":
                    continue
                visited[nextx][nexty] = True
                q.append((nextx, nexty))

695. 岛屿的最大面积

 对岛屿数量进行修改就可以了

区别在于最大面积计算递归次数(dfs)，或者入栈次数（bfs)

class Solution:
    def __init__(self):
            self.dir = [[0,1],# right
                        [1,0],#down
                        [-1,0],#up
                        [0,-1]]#left
            self.maxsize = 0
            self.count = 0
    def maxAreaOfIsland(self, grid: List[List[int]]) -> int:
        m = len(grid) #hang
        n = len(grid[0])#lie
        # print(m, n)
        visited = [[False]*n for _ in range(m)]

        for i in range(m):
            for j in range(n):
                if visited[i][j] == False and grid[i][j] == 1:

                    #bfs
                    # self.maxsize = max(self.maxsize, self.bfs(grid, visited, i, j))
                    
                    #dfs
                    self.count = 0
                    self.dfs(grid, visited, i, j)
                    self.maxsize = max(self.maxsize, self.count)

        return self.maxsize

    # def bfs(self, grid, visited, x, y):
    #     q = deque()
    #     q.append((x, y))
    #     visited[x][y] = True
    #     maxtem = 1
    #     while q:
    #         x, y = q.popleft()
    #         for i in range(4):
    #             nextx = x + self.dir[i][0]
    #             nexty = y + self.dir[i][1]
    #             if nextx<0 or nextx>=len(grid) or nexty<0 or nexty>=len(grid[0]) or visited[nextx][nexty] == True or grid[nextx][nexty] == 0:
    #                 continue
    #             visited[nextx][nexty] = True
    #             maxtem += 1
    #             q.append((nextx, nexty))
    #     return maxtem
    
    def dfs(self, grid, visited, x, y):
        if grid[x][y] == 0 or visited[x][y] == True:
            return 0
        visited[x][y] = True
        self.count += 1
        for i in range(4):
            nextx = x + self.dir[i][0]
            nexty = y + self.dir[i][1]
            if nextx<0 or nextx>=len(grid) or nexty<0 or nexty>=len(grid[0]):
                continue
            self.dfs(grid, visited, nextx, nexty)