用Python实现矩阵连乘问题,并在每行后面写出相应的代码
时间: 2024-05-04 14:15:27 浏览: 135
以下是Python实现矩阵连乘问题的代码:
```
import sys
def matrix_chain_order(p):
n = len(p) - 1
m = [[0] * (n + 1) for i in range(n + 1)]
s = [[0] * (n + 1) for i in range(n + 1)]
for l in range(2, n + 1):
for i in range(1, n - l + 2):
j = i + l - 1
m[i][j] = sys.maxsize
for k in range(i, j):
q = m[i][k] + m[k + 1][j] + p[i - 1] * p[k] * p[j]
if q < m[i][j]:
m[i][j] = q
s[i][j] = k
return m, s
def print_optimal_parens(s, i, j):
if i == j:
print("A" + str(i), end="")
else:
print("(", end="")
print_optimal_parens(s, i, s[i][j])
print_optimal_parens(s, s[i][j] + 1, j)
print(")", end="")
p = [30, 35, 15, 5, 10, 20, 25]
m, s = matrix_chain_order(p)
print_optimal_parens(s, 1, len(p) - 1)
```
该代码实现了动态规划算法来解决矩阵连乘问题,并输出最优的括号化方案。
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