Dijkstra求单源节点最短路径——基于邻接矩阵存储

#include<iostream>
#include<vector>

#define WQ 999                                       //表示无穷远
using namespace std;

int shortestPath_Dijkstra(vector<vector<int>> &v,int x,int y) {                 //x:从x节点出发  y:到y节点结束
    if (x == y) return 0;
    vector<int> visited(v.size());                //该节点是否访问过
    vector<int> dist(v.size(),WQ);                //记录最短距离
    vector<int> path(v.size());                   //记录该节点最短路径的前驱节点
    //初始化三个数组
    visited[x] = 1; dist[x] = 0; path[x] = 0; 
    for (int i=1; i < v.size(); i++) {
        if (i == x) continue;
        dist[i] = v[x][i];
        path[i] = (v[x][i] == WQ ? 0 : x);
    }
    int next_node = x;
    for (int j = 1; j < v.size() - 1; j++) {
        int min_dist = WQ;
        //寻找下一个要访问的节点
        for (int i = 1; i < v.size(); i++) {
            if (visited[i]) continue;
            if (dist[i] < min_dist) {
                min_dist = dist[i];
                next_node = i;
            }
        }
        visited[next_node] = 1;
        //根据访问节点修改dist、path数组
        for (int i = 1; i < v.size(); i++) {
            if (visited[i] == 0 && dist[next_node] + v[next_node][i] < dist[i] && v[next_node][i]!=WQ) {
                dist[i] = dist[next_node] + v[next_node][i];
                path[i] = next_node;
            }
        }
    }
    return dist[y];
}

int main() {
    int n, m,a,b,l,x,y;
    while (cin >> n >> m) {
        if (n > 10 || m > n * (n - 1) / 2) break;
        vector<vector<int>> v_path(n+1, vector<int>(n+1, WQ));
        while (m--) {
            cin >> a >> b >> l;
            v_path[a][b] = l;
            v_path[b][a] = l;
        }
        
        for (int i = 1; i <= n; i++) v_path[i][i] = 0;

        /*for (int i = 1; i <= n; i++) {
            for (int j = 1; j <= n; j++) {
                cout << v_path[i][j] << " ";
            }cout << endl;
        }
        cout << v_path.size() << endl;*/
        
        cin >> x >> y;
        int r = shortestPath_Dijkstra(v_path, x, y);
        if (r!=WQ) cout << r << endl;
        else cout << "No path" << endl;
    }
    return 0;
}

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