帮我写一个c++装载问题代码
时间: 2023-08-20 19:23:55 浏览: 50
好的,装载问题是一个经典的NP完全问题,下面是一份简单的C++代码实现:
```c++
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
struct Box {
int l, w, h;
Box(int _l, int _w, int _h) : l(_l), w(_w), h(_h) {}
Box() {}
};
bool cmp(const Box &a, const Box &b) {
return a.l * a.w > b.l * b.w;
}
int max_height(vector<Box> &boxes) {
sort(boxes.begin(), boxes.end(), cmp);
int n = boxes.size();
vector<int> dp(n, 0);
int res = 0;
for (int i = 0; i < n; ++i) {
dp[i] = boxes[i].h;
for (int j = 0; j < i; ++j) {
if (boxes[j].l > boxes[i].l && boxes[j].w > boxes[i].w) {
dp[i] = max(dp[i], dp[j] + boxes[i].h);
}
}
res = max(res, dp[i]);
}
return res;
}
int main() {
int n;
cin >> n;
vector<Box> boxes(n);
for (int i = 0; i < n; ++i) {
int l, w, h;
cin >> l >> w >> h;
boxes[i] = Box(l, w, h);
boxes.push_back(Box(w, l, h));
boxes.push_back(Box(w, h, l));
boxes.push_back(Box(l, h, w));
boxes.push_back(Box(h, l, w));
boxes.push_back(Box(h, w, l));
}
cout << max_height(boxes) << endl;
return 0;
}
```
该算法的时间复杂度为$O(n^2)$,空间复杂度为$O(n)$,其中$n$为盒子数。