图论入门编程-爱代码爱编程
卡码网刷题链接:98. 所有可达路径
一、题目简述
二、编程demo
方法①邻接矩阵
from collections import defaultdict
#简历邻接矩阵
def build_graph():
n, m = map(int,input().split())
graph = [[0 for _ in range(n+1)] for _ in range(n+1)]
for _ in range(m):
i,j = map(int,input().split())
graph[i][j] = 1
return graph,n
#深度优先搜索
def dfs(g,r,i,end,path):
if i == end:
r.append(path.copy())
return
for k in range(1,end+1):
if g[i][k]:
path.append(k)
dfs(g,r,k,end,path)
path.pop()
return
#主函数
def main():
graph,n = build_graph()
result = []
path = [1]
dfs(graph,result,1,n,path)
#按格式打印输出
if not result:
print(-1)
for p in result:
print(" ".join(map(str,p)))
return
if __name__ == "__main__":
main()
方法②邻接表
from collections import defaultdict
def build_graph():
n, m = map(int,input().split())
graph = defaultdict(list)
for _ in range(m):
i,j = map(int,input().split())
graph[i].append(j)
return graph,n
def dfs(g,r,i,end,path):
if i == end:
r.append(path.copy())
return
for k in g[i]:
path.append(k)
dfs(g,r,k,end,path)
path.pop()
return
def main():
graph,n = build_graph()
result = []
path = [1]
dfs(graph,result,1,n,path)
if not result:
print(-1)
for p in result:
print(" ".join(map(str,p)))
return
if __name__ == "__main__":
main()