87 lines
2.0 KiB
C++
87 lines
2.0 KiB
C++
#include <iostream>
|
|
#include <vector>
|
|
|
|
using namespace std;
|
|
|
|
struct FlatItem {
|
|
int weight, value;
|
|
|
|
FlatItem operator+(const FlatItem& other) const {
|
|
return {.weight = weight + other.weight, .value = value + other.value};
|
|
}
|
|
};
|
|
|
|
struct OriginalItem {
|
|
FlatItem item{};
|
|
vector<FlatItem> sons;
|
|
};
|
|
|
|
constexpr int MAX_N = 65, MAX_CAPACITY = 32005;
|
|
|
|
int capacity, n;
|
|
vector<OriginalItem> items;
|
|
vector<FlatItem> flat_items;
|
|
int fathers_temp[MAX_N];
|
|
|
|
int dp[MAX_CAPACITY];
|
|
|
|
vector<FlatItem> generate_flat_items(OriginalItem item) {
|
|
switch (item.sons.size()) {
|
|
case 0:
|
|
return vector{item.item};
|
|
case 1:
|
|
return vector{
|
|
item.item,
|
|
item.sons[0] + item.item,
|
|
};
|
|
case 2:
|
|
return vector{
|
|
item.item,
|
|
item.sons[0] + item.item,
|
|
item.sons[1] + item.item,
|
|
item.sons[0] + item.sons[1] + item.item,
|
|
};
|
|
default:
|
|
throw logic_error("Invalid item size!");
|
|
}
|
|
}
|
|
|
|
|
|
void solve_dp() {
|
|
for (int i = 0; i < n; i++) {
|
|
if (items[i].item.value == -1) { continue; }
|
|
for (int w=capacity; w>=1; w--) {
|
|
// dp[w] = dp[w] // 不买
|
|
for (const auto& [weight, value] : generate_flat_items(items[i])) {
|
|
if (w >= weight) {
|
|
dp[w] = max(dp[w], dp[w - weight] + value);
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
int main() {
|
|
ios::sync_with_stdio(false);
|
|
cin.tie(nullptr);
|
|
|
|
cin >> capacity >> n;
|
|
items.resize(n);
|
|
|
|
for (int i = 0; i < n; i++) {
|
|
cin >> items[i].item.weight >> items[i].item.value >> fathers_temp[i];
|
|
items[i].item.value *= items[i].item.weight; // 题意
|
|
}
|
|
for (int i = 0; i < n; i++) {
|
|
if (fathers_temp[i] != 0) {
|
|
items[fathers_temp[i] - 1].sons.push_back(items[i].item);
|
|
items[i].item.value = -1; // 删掉这个元素！
|
|
}
|
|
}
|
|
|
|
solve_dp();
|
|
cout << dp[capacity] << endl;
|
|
|
|
return 0;
|
|
}
|