使用C++完成这个问题,有一瓶12品脱的酒,同时有容积为5品脱和8品脱的空杯各一个,借助这两个空杯,如何将这瓶12品脱的酒平分?
时间: 2024-09-26 16:09:20 浏览: 34
品脱杯
要在C++中解决这个问题,我们需要采用迭代或递归的方式来填充和转移液体,直到瓶子被平均分成两部分。这里是一个简单的递归解决方案:
```cpp
#include <iostream>
// 容量单位
using pint = int; // 或者使用float或double
// 辅助函数,用于检查是否可以将瓶子平分
bool canPour(int remaining, int& cup1, int& cup2) {
if (remaining == 0)
return true;
else if (cup1 >= remaining) {
cup1 -= remaining;
return true;
} else if (cup2 >= remaining - cup1) {
cup2 += cup1;
cup1 = 0;
return canPour(remaining - cup2, cup1, cup2);
} else {
return false;
}
}
void pour(int total, int cup1, int cup2) {
std::cout << "Pouring from 12-pint to cups: ";
if (!canPour(total, cup1, cup2)) {
std::cout << "Cannot divide evenly.\n";
return;
}
while (total > 0) {
if (canPour(total - cup1, cup2, cup1)) {
std::cout << "From 12: " << total << " into cup 1: " << cup1 << "\n";
total -= cup1;
} else {
std::cout << "From 12: " << total << " into cup 2: " << cup2 << "\n";
total -= cup2;
}
}
}
int main() {
int fullPint = 12;
int halfCup1 = 5;
int halfCup2 = 8;
pour(fullPint, halfCup1, halfCup2);
return 0;
}
```
在这个程序中,`pour` 函数会尝试把剩余的酒倒入容量较小的杯子,直到无法再平分为止。如果最终能成功平分,就会打印出每次倒酒的操作过程。
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