graph-trace

用dfs来记录从起始点到终点的路径。

  • 当没有环的时候,我们不需要记录哪个顶点没有被访问过,这样也不会导致死循环。
  • 而当有环的时候,则必须记录哪个顶点有被访问过,在本次寻找的过程中不能再访问他,防止死循环。
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    #include <iostream>
    #include <stdio.h>
    #include <vector>
    #include <string.h>
    using namespace std;
    vector<int> mstack;
    int road[6][6];
    bool visit[6];
    void dfs(int start){
    if (start == 5){
    mstack.push_back(5);
    for (int i = 0; i < mstack.size(); ++i) {
    cout<<mstack[i]<<" ";
    }
    mstack.pop_back();
    cout<<endl;
    return;
    }
    for (int i = 1; i <= 5; ++i) {
    if (road[start][i]&&!visit[i]){
    mstack.push_back(start);
    visit[i] = true;
    dfs(i);
    visit[i] =false;
    mstack.pop_back();
    }
    }
    }
    int main(){
    memset(road,0,sizeof(road));
    memset(visit,0,sizeof(visit));
    road[1][3] = 1;
    road[1][2] = 1;
    road[2][4] = 1;
    road[2][3] = 1;
    road[3][4] = 1;
    road[3][5] = 1;
    road[4][5] = 1;
    road[4][3] = 1;
    visit[1] = true;
    dfs(1);
    visit[1] = false;
    }

代码用到的图