基于python实现鸡兔同笼
时间: 2024-05-15 08:19:25 浏览: 86
以下是基于python实现鸡兔同笼的代码:
```
def chicken_rabbit(num_heads, num_legs):
rabbit = (num_legs - 2 * num_heads) / 2
chicken = num_heads - rabbit
if rabbit < 0 or chicken < 0 or rabbit % 1 != 0 or chicken % 1 != 0:
return "无法计算"
else:
return int(chicken), int(rabbit)
print(chicken_rabbit(35, 94)) # (23, 12)
```
其中,`num_heads`表示鸡和兔的总头数,`num_legs`表示鸡和兔的总腿数。根据题目可知,兔子有4条腿,鸡有2条腿,因此可以通过一个二元一次方程组来求解鸡和兔的数量。具体来说,设兔子的数量为`rabbit`,鸡的数量为`chicken`,则有:
```
rabbit + chicken = num_heads
4 * rabbit + 2 * chicken = num_legs
```
解这个方程组可以得到:
```
rabbit = (num_legs - 2 * num_heads) / 2
chicken = num_heads - rabbit
```
最后需要对结果进行判断,如果`rabbit`或`chicken`小于0或者不是整数,说明无法计算,返回"无法计算";否则返回鸡和兔的数量。
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