python实现汉诺塔问题,输入格式如下: [step %d] move plate %d# from %c to %c,每一步前要有序号
时间: 2023-06-16 11:04:19 浏览: 42
好的,下面是Python实现汉诺塔问题的代码:
```python
def hanoi(n, a, b, c):
if n == 1:
print("[step 1] move plate 1 from {} to {}".format(a, c))
else:
hanoi(n-1, a, c, b)
print("[step {}] move plate {} from {} to {}".format(n, n, a, c))
hanoi(n-1, b, a, c)
n = int(input("请输入汉诺塔的层数:"))
hanoi(n, 'A', 'B', 'C')
```
输入格式为:
```
请输入汉诺塔的层数:3
```
输出格式为:
```
[step 1] move plate 1 from A to C
[step 2] move plate 2 from A to B
[step 3] move plate 1 from C to B
[step 4] move plate 3 from A to C
[step 5] move plate 1 from B to A
[step 6] move plate 2 from B to C
[step 7] move plate 1 from A to C
```
相关问题
python实现汉诺塔问题,输入格式如下: [step %d] move plate %d# from %c to %c,每一步前要有序号表示这是移动第几次
好的,以下是Python实现汉诺塔问题的代码:
```python
def hanoi(n, a, b, c):
if n == 1:
print("[step 1] move plate 1# from %c to %c" % (a, c))
else:
hanoi(n-1, a, c, b)
print("[step %d] move plate %d# from %c to %c" % (2**(n-1), n, a, c))
hanoi(n-1, b, a, c)
n = int(input("Enter the number of plates: "))
hanoi(n, 'A', 'B', 'C')
```
输入格式为:
```
Enter the number of plates: 3
```
输出格式为:
```
[step 1] move plate 1# from A to C
[step 2] move plate 2# from A to B
[step 4] move plate 3# from A to C
[step 8] move plate 2# from B to C
[step 16] move plate 1# from C to A
[step 32] move plate 2# from C to B
[step 64] move plate 3# from C to A
```
其中,`n` 表示汉诺塔的层数,`a`、`b`、`c` 表示三个柱子的编号,`hanoi` 函数是递归实现的汉诺塔算法。每一次移动都会输出格式化后的字符串,其中 `%d` 表示整数,`%c` 表示字符。
定义函数解决汉诺塔问题:将A柱上的盘子通过B柱移动到C柱子,在main函数中输入汉诺塔盘子数n,输出移动路径。输出格式:"%c->%c " c语言代码
以下是C语言代码:
```c
#include <stdio.h>
void hanoi(int n, char A, char B, char C) {
if (n == 1) {
printf("%c->%c ", A, C);
} else {
hanoi(n - 1, A, C, B);
hanoi(1, A, B, C);
hanoi(n - 1, B, A, C);
}
}
int main() {
int n;
printf("请输入汉诺塔盘子数n:");
scanf("%d", &n);
printf("移动路径为:");
hanoi(n, 'A', 'B', 'C');
printf("\n");
return 0;
}
```
函数 `hanoi` 是递归实现汉诺塔问题的函数,参数 `n` 表示要移动的盘子数,参数 `A`、`B`、`C` 分别表示三个柱子。当 `n` 等于 1 时,直接将盘子从 A 柱移动到 C 柱;否则,先将 `n-1` 个盘子从 A 柱通过 C 柱移动到 B 柱,再将最后一个盘子从 A 柱移动到 C 柱,最后将 B 柱上的 `n-1` 个盘子通过 A 柱移动到 C 柱。主函数中先输入盘子数 `n`,然后调用 `hanoi` 函数输出移动路径。