You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
54 lines
1.3 KiB
54 lines
1.3 KiB
"""
|
|
File: hanota.py
|
|
Created Time: 2023-07-16
|
|
Author: krahets (krahets@163.com)
|
|
"""
|
|
|
|
|
|
def move(src: list[int], tar: list[int]):
|
|
"""移动一个圆盘"""
|
|
# 从 src 顶部拿出一个圆盘
|
|
pan = src.pop()
|
|
# 将圆盘放入 tar 顶部
|
|
tar.append(pan)
|
|
|
|
|
|
def dfs(i: int, src: list[int], buf: list[int], tar: list[int]):
|
|
"""求解汉诺塔问题 f(i)"""
|
|
# 若 src 只剩下一个圆盘，则直接将其移到 tar
|
|
if i == 1:
|
|
move(src, tar)
|
|
return
|
|
# 子问题 f(i-1) ：将 src 顶部 i-1 个圆盘借助 tar 移到 buf
|
|
dfs(i - 1, src, tar, buf)
|
|
# 子问题 f(1) ：将 src 剩余一个圆盘移到 tar
|
|
move(src, tar)
|
|
# 子问题 f(i-1) ：将 buf 顶部 i-1 个圆盘借助 src 移到 tar
|
|
dfs(i - 1, buf, src, tar)
|
|
|
|
|
|
def solve_hanota(A: list[int], B: list[int], C: list[int]):
|
|
"""求解汉诺塔问题"""
|
|
n = len(A)
|
|
# 将 A 顶部 n 个圆盘借助 B 移到 C
|
|
dfs(n, A, B, C)
|
|
|
|
|
|
"""Driver Code"""
|
|
if __name__ == "__main__":
|
|
# 列表尾部是柱子顶部
|
|
A = [5, 4, 3, 2, 1]
|
|
B = []
|
|
C = []
|
|
print("初始状态下：")
|
|
print(f"A = {A}")
|
|
print(f"B = {B}")
|
|
print(f"C = {C}")
|
|
|
|
solve_hanota(A, B, C)
|
|
|
|
print("圆盘移动完成后：")
|
|
print(f"A = {A}")
|
|
print(f"B = {B}")
|
|
print(f"C = {C}")
|