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11 months ago
import numpy as np
inf = float('inf')
def find_all_cycles(distances):
num_nodes = distances.shape[0]
visited = [False] * num_nodes
cycles = []
def dfs(node, start, path):
visited[node] = True
for neighbor in range(num_nodes):
if distances[node, neighbor] != inf:
if neighbor == start and len(path) > 1:
cycles.append(path + [start])
elif not visited[neighbor]:
dfs(neighbor, start, path + [neighbor])
visited[node] = False
for start_node in range(num_nodes):
dfs(start_node, start_node, [start_node])
return cycles
distances = np.array([
[inf, inf, 21, inf, 53],
[inf, inf, 77, 84, 93],
[21, 77, inf, inf, 53],
[inf, 84, inf, inf, inf],
[53, 93, 53, inf, inf]
])
all_cycles = find_all_cycles(distances)
if all_cycles:
print("存在的回路路径为:")
for cycle in all_cycles:
print(cycle)
else:
print("不存在回路")