生成python代码,要求:以邻接矩阵的形式,定义一个简单路网,定义一个起点和一个终点,运用dijkstra算法生成最短路径,然后将最短路径上的所有路段距离增加2倍,然后更新路网,寻找最短路径,直至找到10条最短路径,筛选掉重复的路径,得到不包含重复路径的路径集,以下形式输出路径集:n×m的矩阵,n为路径数量,m为路段数量,如果路段m在路径n里面,则(n,m)值为1,否则为0
时间: 2024-03-25 20:38:39 浏览: 11
以下是生成python代码的答案,可以满足您的要求:
```python
import heapq
# 定义邻接矩阵表示路网
network = [[0, 2, 0, 4, 0, 0],
[2, 0, 3, 0, 0, 0],
[0, 3, 0, 1, 3, 0],
[4, 0, 1, 0, 1, 2],
[0, 0, 3, 1, 0, 1],
[0, 0, 0, 2, 1, 0]]
# 定义起点和终点
start, end = 0, 5
# Dijkstra算法求最短路径
def dijkstra(network, start, end):
n = len(network)
visited = [False] * n
distance = [float('inf')] * n
distance[start] = 0
heap = [(0, start)]
while heap:
(dist, u) = heapq.heappop(heap)
if visited[u]:
continue
visited[u] = True
for v in range(n):
if network[u][v] > 0:
alt = dist + network[u][v]
if alt < distance[v]:
distance[v] = alt
heapq.heappush(heap, (alt, v))
return distance[end]
# 将最短路径上的所有路段距离增加2倍,并更新路网
def double_distance(network, path):
for i in range(len(path) - 1):
u, v = path[i], path[i+1]
network[u][v] *= 2
network[v][u] *= 2
# 寻找10条最短路径,并筛选掉重复的路径
paths = []
for i in range(10):
# Dijkstra算法求最短路径
distance = dijkstra(network, start, end)
path = [end]
while path[-1] != start:
for u in range(len(network)):
if network[u][path[-1]] > 0 and distance - network[u][path[-1]] == distance[u]:
path.append(u)
break
path.reverse()
paths.append(path)
double_distance(network, path)
unique_paths = []
for path in paths:
if path not in unique_paths:
unique_paths.append(path)
# 输出路径集
n = len(unique_paths)
m = len(network)
matrix = [[0] * m for i in range(n)]
for i in range(n):
for j in range(m):
if j < m - 1 and unique_paths[i][j] == unique_paths[i][j+1]:
continue
matrix[i][j] = 1
print(matrix)
```
希望这份代码能够满足您的需求!