Please write a simply code in python, the requirement is as followed: 1. use the list type describe rod A, B and C 2. to The Tower of Hanoi is a mathematical game or puzzle. It consists of three rods, and a number of disks of different sizes which can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod, the smallest at the top, thus making a conical shape. The following figure shows the initial state of the Tower of Hanoi with 5 disks.The objective of the puzzle is to move the entire stack to another rod, obeying the following simple rules: 1. Only one disk can be moved at a time. 2. Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack i.e. a disk can only be moved if it is the uppermost disk on a stack. 3. No disk may be placed on top of a smaller disk. Assume that initially all the disks are placed on rod A. Write a non-recursive Python function to print out the steps to move all the disks from rod A to rod C via rod B (Hint: a recursive algorithm can be converted into a non-recursive algorithm using stack). The header of the function is: def HanoiTower(n) Here n represents the number of disks.
时间: 2023-02-05 08:50:34 浏览: 159
简明的python教程
首先,我们可以使用 Python 的列表类型来描述棒 A,B 和 C:
```
rod_A = []
rod_B = []
rod_C = []
```
然后,我们可以定义一个非递归的 Python 函数来打印汉诺塔的移动步骤:
```
def HanoiTower(n):
stack = []
stack.append((n, 'A', 'B', 'C'))
while stack:
n, from_rod, aux_rod, to_rod = stack.pop()
if n == 1:
print(f'Move disk from rod {from_rod} to rod {to_rod}')
else:
stack.append((n-1, aux_rod, from_rod, to_rod))
stack.append((1, from_rod, aux_rod, to_rod))
stack.append((n-1, to_rod, aux_rod, from_rod))
# 调用函数
HanoiTower(5)
```
这样,我们就可以使用非递归的方式来解决汉诺塔问题了。
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