搬砖问题:36 块砖,36 人搬,男搬 4,女搬 3,两个小孩抬 1 砖,要求一次全搬完,问男、女和小孩各若干? 用python循环结构
时间: 2024-09-11 20:14:10 浏览: 24
搬砖问题是组合优化的问题,可以通过穷举所有可能的男、女和小孩组合,然后检查是否能恰好将36块砖搬完。下面是一个简单的Python程序,使用循环结构来寻找解:
```python
def find_solution(total_brick, total_people, man_per_brick, woman_per_brick, kids_per_brick):
for men in range(total_people // man_per_brick + 1): # 从0到总人数除以男性每人搬砖数的所有整数
women = total_people - men - (total_brick - men*man_per_brick) / kids_per_brick # 女性和小孩总数
if women >= 0 and women % woman_per_brick == 0: # 女性的数量必须是女性每人搬砖数的倍数
kids = total_brick - women*woman_per_brick # 小孩的数量
if kids >= 0 and kids % kids_per_brick == 0: # 小孩的数量也必须是小孩每人搬砖数的倍数
return men, women // woman_per_brick, kids // kids_per_brick # 返回解决方案
# 示例输入
total_brick = 36
total_people = 36
man_per_brick = 4
woman_per_brick = 3
kids_per_brick = 1
men, women, kids = find_solution(total_brick, total_people, man_per_brick, woman_per_brick, kids_per_brick)
print(f"男性{men}人,女性{women}人,小孩{kids}对")