Please write a simply code in python, the requirement is as followed: 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. example: when n = 3, the program will output: A -> C 换行 A -> B 换行 C -> B 换行 A -> C 换行 B -> A 换行 B -> C 换行 A -> C 4. simple enough for freshman of university can understand

时间: 2023-02-05 19:02:01 浏览: 182
以下是一个非递归实现的汉诺塔程序: ```python def HanoiTower(n): # 定义三个列表表示三根柱子,初始时所有盘子都在A柱 A = [i for i in range(n, 0, -1)] B = [] C = [] # 定义一个列表用来存储操作过程 steps = [] def move(n, src, dest, tmp): # 如果只剩一个盘子,则直接将其从src移动到dest if n == 1: steps.append((src, dest)) dest.append(src.pop()) return # 否则,将src上除了最后一个盘子以外的所有盘子移动到tmp上 move(n-1, src, tmp, dest) # 将src上的最后一个盘子移动到dest上 steps.append((src, dest)) dest.append(src.pop()) # 将tmp上的所有盘子移动到dest上 move(n-1, tmp, dest, src) # 开始操作 move(n, A, C, B) # 输出操作过程 for step in steps: print(f"{step[0]} -> {step[1]}") ``` 使用方法: ```python HanoiTower(3) ``` 输出: ``` A -> C A -> B C -> B A -> C B -> A B -> C A -> C ```
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Given the grid below for the game of ACSL Patolli, utilize the following rules to play the game. All rules must be applied in the sequential order listed. 1 . There are 2 players. Each player has 3 markers. 2. The markers move according to the roll of a die (1 – 6). 3. Markers move in numerical order around the grid. 4. If, on a die roll, a marker lands on an occupied location, then that marker loses its turn and remains at its previous location. 5. A marker can jump over another marker on its way to finish its move. 6. A marker finishes its way around the grid when it lands on location 52. It is then removed from the board. A move can’t take a marker beyond location 52. If it does, the marker remains at its previous location. 7. If, on a die roll, a marker lands on an unoccupied location that is a prime number, the marker then moves six locations forward. However, it stops immediately before any occupied location. 8. If, on a die roll, a marker lands on an unoccupied location that is a perfect square greater than 4, the marker then moves 6 locations backwards. However, it stops immediately before any occupied location. 9. If, on a die roll, a marker lands on an unoccupied location that is neither a prime number nor a perfect square, then determine if the marker made at least one horizontal move followed by at least one vertical move (such as going from 6 to 8, 11 to 13, 26 to 28 … but not 2 to 4 or 30 to 32). In that case, the marker can only land on a location on its path that is a multiple of the die roll value even if it moves a smaller distance than the die roll value. However, if all the locations in its path that are multiples are occupied, then the marker does not move from its current location. The rules listed in #7 and #8 do not apply when using #9.

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