基于邻接表的长度为k的简单路径的求解
#include<iostream>
using namespace std;
#define maxsize 100
typedef struct ArcNode {
int val;
ArcNode* next;
ArcNode():val(0),next(nullptr){}
ArcNode(int x):val(x),next(nullptr){}
};
typedef struct VexNode {
char data;
ArcNode* first;
VexNode():data('0'),first(nullptr){}
}VexNode;
typedef struct {
int VexNum;
int ArcNum;
VexNode vexs[maxsize];
}ALGraph;
int findindex(ALGraph G, char x) {
for (int i = 1; i <= G.VexNum; i++) {
if (G.vexs[i].data == x) return i;
}
return 0;
}
void CreateGraph(ALGraph& G, int n, int m) {
G.VexNum = n;
G.ArcNum = m;
for (int i = 1; i <= n; i++) { //s输入顶点
char x;
cin >> x;
G.vexs[i].data = x;
}
for (int i = 1; i <= m; i++) { //输入边
char a1, a2;
cin >> a1 >> a2;
int index1 = findindex(G, a1);
int index2 = findindex(G, a2);
ArcNode* p1 = new ArcNode(index1);
ArcNode* p2 = new ArcNode(index2);
p1->next = G.vexs[index2].first;
G.vexs[index2].first = p1;
p2->next = G.vexs[index1].first;
G.vexs[index1].first = p2;
}
}
void dfs(ALGraph G, int start, int end, int n, int* visited, int& flag, int k) {
if (start == end && n == k) {
flag = 1;
return;
}
ArcNode* p = G.vexs[start].first;
while (p) {
if (visited[p->val] == 0) {
visited[p->val] = 1;
dfs(G, p->val, end, n + 1, visited, flag, k);
}
p = p->next;
}
}
void findPathK(ALGraph G, char start,char end,int k) {
int s = findindex(G,start);
int e = findindex(G,end);
int visited[30] = { 0 };
int flag = 0;
dfs(G, s, e,0, visited, flag, k);
if (flag == 1) {
cout << "YES" << endl;
}
else {
cout << "NO" << endl;
}
}
int main() {
int n, m; int k;
while (cin >> n >> m>>k && (n != 0 && m != 0 && k!=0)) {
ALGraph G;
CreateGraph(G, n, m);
char v, d;
cin >> v >> d;
findPathK(G, v, d, k);
}
}