Day50-图论

99. 岛屿数量

99. 计数孤岛

深搜
python 复制代码
DIR = [[0,1],[1,0],[0,-1],[-1,0]]  

def dfs1(graph,visited,x,y):
    for i in range(4):
        nextx = x+DIR[i][0]
        nexty = y+DIR[i][1]
        if nextx<0 or nexty<0 or nextx>=len(graph) or nexty>=len(graph[0]):
            continue
        if not visited[nextx][nexty] and graph[nextx][nexty]:
            visited[nextx][nexty] = 1
            dfs1(graph,visited,nextx,nexty)


def main():
    n,m = map(int,input().split())
    graph = []
    for i in range(n):
        graph.append(list(map(int,input().split())))
    visited = [[0]*m for _ in range(n)]
    res = 0
    for i in range(n):
        for j in range(m):
            if graph[i][j] and not visited[i][j]:
                # 发现新大陆
                res +=1
                visited[i][j] = 1
                # 查看周围的领土
                dfs1(graph,visited,i,j)
    print(res)

if __name__ == '__main__':
    main()
python 复制代码
DIR = [[0,1],[1,0],[0,-1],[-1,0]]  

def dfs2(graph,visited,x,y):
    if visited[x][y] or not graph[x][y]:  
        # 海洋或者已经处理过的陆地,不重复访问
        return
    visited[x][y] = 1
    for i in range(4):
        nextx = x+DIR[i][0]
        nexty = y+DIR[i][1]
        if nextx<0 or nexty<0 or nextx>=len(graph) or nexty>=len(graph[0]):
            continue
        dfs2(graph,visited,nextx,nexty)


def main():
    n,m = map(int,input().split())
    graph = []
    for i in range(n):
        graph.append(list(map(int,input().split())))
    visited = [[0]*m for _ in range(n)]
    res = 0
    for i in range(n):
        for j in range(m):
            if graph[i][j] and not visited[i][j]:
                # 发现新大陆
                res +=1
                # 查看周围的领土
                dfs2(graph,visited,i,j)
    print(res)

if __name__ == '__main__':
    main()
广搜
python 复制代码
DIR = [[0,1],[1,0],[0,-1],[-1,0]]  

def bfs(graph,visited,x,y):
    # 坑:入队列就要变成访问过;如果取出的时候才标记访问过,会有大量重复节点被标记
    queue = []
    queue.append([x,y])
    visited[x][y] = 1
    while queue:
        curx,cury = queue.pop(0)
        for i in range(4):
            nextx = curx+DIR[i][0]
            nexty = cury+DIR[i][1]
            if nextx<0 or nexty<0 or nextx>=len(graph) or nexty>=len(graph[0]):
                continue
            if not visited[nextx][nexty] and graph[nextx][nexty]:
                queue.append([nextx,nexty])
                visited[nextx][nexty] = 1

def main():
    n,m = map(int,input().split())
    graph = []
    for i in range(n):
        graph.append(list(map(int,input().split())))
    visited = [[0]*m for _ in range(n)]
    res = 0
    for i in range(n):
        for j in range(m):
            if graph[i][j] and not visited[i][j]:
                # 发现新大陆
                res +=1
                # 查看周围的领土
                bfs(graph,visited,i,j)
    print(res)

if __name__ == '__main__':
    main()

100. 岛屿的最大面积

100. 最大岛屿的面积

深搜
python 复制代码
DIR = [[0,1],[1,0],[0,-1],[-1,0]] 
count = 0  # 全局,因为dfs可能拿不到返回值【第一种写法】

def dfs1(graph,visited,x,y):
    global count
    for i in range(4):
        nextx = x+DIR[i][0]
        nexty = y+DIR[i][1]
        if nextx<0 or nexty<0 or nextx>=len(graph) or nexty>=len(graph[0]):
            continue
        if not visited[nextx][nexty] and graph[nextx][nexty]:
            visited[nextx][nexty] = 1
            count +=1
            dfs1(graph,visited,nextx,nexty)


def main():
    n,m = map(int,input().split())
    graph = []
    for i in range(n):
        graph.append(list(map(int,input().split())))
    visited = [[0]*m for _ in range(n)]
    res = 0
    global count
    for i in range(n):
        for j in range(m):
            if graph[i][j] and not visited[i][j]:
                # 发现新大陆,陆地面积置为1
                count = 1
                visited[i][j] = 1
                # 查看周围的领土
                dfs1(graph,visited,i,j)
                # 全局的count在遍历中得到了更新
                res = max(res,count)
    print(res)

if __name__ == '__main__':
    main()
python 复制代码
DIR = [[0,1],[1,0],[0,-1],[-1,0]] 
count = 0  # 全局,因为dfs可能拿不到返回值【第一种写法】

def dfs2(graph,visited,x,y):
    global count
    if not graph[x][y] or visited[x][y]:
        return
    visited[x][y] = 1
    count +=1
    for i in range(4):
        nextx = x+DIR[i][0]
        nexty = y+DIR[i][1]
        if nextx<0 or nexty<0 or nextx>=len(graph) or nexty>=len(graph[0]):
            continue
        dfs2(graph,visited,nextx,nexty)

def main():
    n,m = map(int,input().split())
    graph = []
    for i in range(n):
        graph.append(list(map(int,input().split())))
    visited = [[0]*m for _ in range(n)]
    res = 0
    global count
    for i in range(n):
        for j in range(m):
            if graph[i][j] and not visited[i][j]:
                # 发现新大陆,陆地面积置为1
                count = 0
                # 查看周围的领土
                dfs2(graph,visited,i,j)
                # 全局的count在遍历中得到了更新
                res = max(res,count)
    print(res)

if __name__ == '__main__':
    main()
广搜
python 复制代码
DIR = [[0,1],[1,0],[0,-1],[-1,0]] 
count = 0  # 全局,因为dfs可能拿不到返回值【第一种写法】


def bfs(graph,visited,x,y):
    queue = []
    queue.append([x,y])
    visited[x][y] = 1
    global count
    count = 1
    while queue:
        curx,cury = queue.pop(0)
        for i in range(4):
            nextx = curx+DIR[i][0]
            nexty = cury+DIR[i][1]
            if nextx<0 or nexty<0 or nextx>=len(graph) or nexty>=len(graph[0]):
                continue
            if not visited[nextx][nexty] and graph[nextx][nexty]:
                queue.append([nextx,nexty])
                visited[nextx][nexty] = 1
                count +=1

def main():
    n,m = map(int,input().split())
    graph = []
    for i in range(n):
        graph.append(list(map(int,input().split())))
    visited = [[0]*m for _ in range(n)]
    res = 0
    global count
    for i in range(n):
        for j in range(m):
            if graph[i][j] and not visited[i][j]:
                # 发现新大陆,陆地面积置为1
                visited[i][j] = 1
                # 查看周围的领土
                bfs(graph,visited,i,j)
                # 全局的count在遍历中得到了更新
                res = max(res,count)
    print(res)

if __name__ == '__main__':
    main()
相关推荐
花酒锄作田10 小时前
Pydantic校验配置文件
python
hboot10 小时前
AI工程师第四课 - 深度学习入门
pytorch·python·神经网络
罗西的思考13 小时前
机器人 / 强化学习】HIL-SERL:人类在环驱动的具身智能进化框架
人工智能·算法·机器学习
CSharp精选营15 小时前
关系型 vs 非关系型:从原理到选型,一文搞定数据库核心分类
数据结构·nosql·关系型数据库·非关系型数据库·技术选型
美团技术团队16 小时前
LongCat 开源 VitaBench 2.0:长期动态智能体基准新标杆
人工智能·算法
ZhengEnCi21 小时前
P2M-Matplotlib折线图完全指南-从数据可视化到趋势分析的Python绘图利器
python·matlab·数据可视化
ZhengEnCi1 天前
P2L-Matplotlib饼图完全指南-从数据可视化到图表定制的Python绘图利器
python·matlab
曲幽1 天前
你的REST接口还在“过度投喂”数据吗?——FastAPI + GraphQL实战避坑指南
python·fastapi·web·graphql·route·cors·rest·strawberry
用户8358086187911 天前
基于 Self-RAG 与列表级重排序的进阶 RAG 系统设计与实现
python
To_OC1 天前
LC 207 课程表:刚学图论那会儿,我连这是拓扑排序都没看出来
javascript·算法·leetcode