day53 第十一章:图论part04

发布于:2025-02-20 ⋅ 阅读:(151) ⋅ 点赞:(0)

110.字符串接龙

bfs: 求最短路径长度

# bfs
from collections import deque
from collections import defaultdict
def bfs(beginStr, endStr, strDict):
    que = deque()
    que.append(beginStr)
    strDict[beginStr] = 1
    while que:
        curStr = que.popleft()
        curList = list(curStr)
        for i in range(len(curStr)):
            for j in range(26):
                newChar = chr(j + ord('a'))
                newStr = "".join(curList[:i]) + newChar + "".join(curList[i+1:])
                if newStr == endStr:
                    return strDict[curStr] + 1
                if newStr in strDict and strDict[newStr] == 0:
                    que.append(newStr)
                    strDict[newStr] = strDict[curStr] + 1
                    # print(f"{newStr} {strDict[newStr]}")
                
                    
                    
    return 0
                    
            
       

if __name__ == "__main__":
    # input
    n = int(input())
    beginStr, endStr = input().split()
    strDict = defaultdict(int)
    for _ in range(n):
        strDict[input()] = 0
    
    result = bfs(beginStr, endStr, strDict)
    
    print(result)

        

105.有向图的完全可达性

dfs

#include <iostream>
#include <vector>
#include <list>
using namespace std;

void dfs(vector<list<int>>& graph, int key, vector<bool>& visited) {
    //deal with this key
    if (visited[key]) {
        return;
    }

    visited[key] = true;
    list<int> keys = graph[key];
    for (int key : keys) {
        dfs(graph, key, visited);
    }

}


int main()
{
    int n, k, s, t;
    cin >> n >> k;

    vector<list<int>> graph(n+1);
    while (k--) {
        cin >> s >> t;
        graph[s].push_back(t);
    }

    vector<bool> visited(n + 1, false);

    dfs(graph, 1, visited);

    for (int i = 1; i <= n; i++) {
        if (visited[i] == false) {
            cout << -1 << endl;
            return 0;
        }
    }


    cout << 1 << endl;
}
#include <iostream>
#include <vector>
#include <list>
#include <queue>
using namespace std;

void bfs(vector<list<int>>& graph, int key, vector<bool>& visited) {
    queue<int> que;
    que.push(key);
    visited[key] = true;
    while (!que.empty()) {
        int cur = que.front();que.pop();
        list<int> keys = graph[cur];
        for (int key : keys) {
            if (!visited[key]) {//注意这里,不然会进入死循环
                que.push(key);
                visited[key] = true;
            }
        }
    }
}


int main()
{
    int n, k, s, t;
    cin >> n >> k;

    vector<list<int>> graph(n+1);
    while (k--) {
        cin >> s >> t;
        graph[s].push_back(t);
    }

    vector<bool> visited(n + 1, false);

    bfs(graph, 1, visited);

    for (int i = 1; i <= n; i++) {
        if (visited[i] == false) {
            cout << -1 << endl;
            return 0;
        }
    }

    cout << 1 << endl;
}

106.岛屿的周长

dfs练手

#include <iostream>
#include <vector>
#include <list>
using namespace std;
int directions[4][2] = { 1,0,0,1,-1,0,0,-1 };
int result = 0;

void dfs(vector<vector<int>>& graph, vector<vector<bool>>& visited, int x, int y) {
    if (visited[x][y] || graph[x][y] == 0) {
        return;
    }
    visited[x][y] = true;
    // get circle
    for (int i = 0; i < 4; i++) {
        int next_x = x + directions[i][0];
        int next_y = y + directions[i][1];
        if (next_x < 0 || next_x >= graph.size()) {
            result++;
            // cout << result << endl;
        }
        if (next_y < 0 || next_y >= graph[0].size()) {
            result++;
        }
        if (next_x < 0 || next_x >= graph.size() || next_y < 0 || next_y >= graph[0].size()) {
            continue;
        }
        if (graph[next_x][next_y] == 0) {
            result++;
            //cout << result << endl;
        }

        dfs(graph, visited, next_x, next_y);
    }
}



int main() {
    int n, m;
    cin >> n >> m;

    vector<vector<int>> graph(n, vector<int>(m, 0));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            cin >> graph[i][j];
        }
    }
    // int n = 5;
    // int m = 5;
    // vector<vector<int>> graph(n, vector<int>(n, 0));
    // graph = {
    //         {0,0,0,0,0},
    //         {0,1,0,1,0},
    //         {0,1,1,1,0},
    //         {0,1,1,1,0},
    //         {0,0,0,0,0}
    // };


    vector<vector<bool>> visited(n, vector<bool>(m, false));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            if (graph[i][j] == 1) {
                dfs(graph, visited, i, j);
            }
        }
    }
    cout << result << endl;
    return 0;

}

也可以不用dfs

#include <iostream>
#include <vector>
#include <list>
using namespace std;
int directions[4][2] = { 1,0,0,1,-1,0,0,-1 };

int main() {
    int n, m;
    cin >> n >> m;

    vector<vector<int>> graph(n, vector<int>(m, 0));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            cin >> graph[i][j];
        }
    }
    // int n = 5;
    // int m = 5;
    // vector<vector<int>> graph(n, vector<int>(m, 0));
    // graph = {
    //         {0,0,0,0,0},
    //         {0,1,0,1,0},
    //         {0,1,1,1,0},
    //         {0,1,1,1,0},
    //         {0,0,0,0,0}
    // };

    int result = 0;
    vector<vector<bool>> visited(n, vector<bool>(m, false));
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < m; j++) {
            // cout << i << j << endl;
            if (graph[i][j] == 1) {
                for (int k = 0; k < 4; k++) {
                    int next_x = i + directions[k][0];
                    int next_y = j + directions[k][1];
                    if (next_x < 0 || next_x >= n || next_y < 0 || next_y >= m || graph[next_x][next_y] == 0) {
                        result++;
                    }
                }
            }
        }
    }
    cout << result << endl;
    return 0;
}


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