# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
515951 | hades42 | Knapsack (NOI18_knapsack) | C++14 | 104 ms | 36296 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
#define ll long long
using namespace std;
typedef tuple<ll, ll, ll> tp;
typedef pair<ll, ll> pr;
const ll MOD = 1000000007;
const ll INF = 1e18;
template <typename T> void print(const T &t) {
std::copy(t.cbegin(), t.cend(),
std::ostream_iterator<typename T::value_type>(std::cout, " "));
cout << endl;
}
template <typename T> void print2d(const T &t) {
std::for_each(t.cbegin(), t.cend(), print<typename T::value_type>);
}
void setIO(string s) { // the argument is the filename without the extension
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
ll limit, type_num;
cin >> limit >> type_num;
map<ll, vector<pr>> mp;
for(ll i = 0; i < type_num; i++){
ll value;
ll weight;
ll amt;
cin >> value >> weight >> amt;
if(weight <= limit && amt > 0){
mp[weight].push_back({value, amt});
}
}
//for(auto &[w, items] : mp){
//cout << w << endl;
//for(auto thing : items){
//cout << thing.first << " " << thing.second << endl;
//}
//}
vector<vector<ll>> dp(mp.size() + 1, vector<ll>(limit + 1, -1));
ll at = 1;
dp[0][0] = 0;
for(auto &[w, items] : mp){
sort(items.begin(), items.end(), greater<pair<ll,ll>>());
for(ll i = 0; i <= limit; i++){
dp[at][i] = dp[at-1][i];
// To predict whether you can keep buying the current product
ll copies = 0;
// What is the index of product you are buying right now
ll type_at = 0;
// What is the amount of product you already bought from the type_at product
ll curr_used = 0;
// What is the current profit
ll profit = 0;
while((copies + 1) * w <= i && type_at < items.size()){
copies++;
profit += items[type_at].first;
if(dp[at - 1][i - copies * w] != INF){
dp[at][i] = max(dp[at][i], dp[at - 1][i - copies * w] + profit);
}
curr_used++;
if(curr_used == items[type_at].second){
curr_used = 0;
type_at++;
}
}
}
at++;
}
//print2d(dp);
cout << *max_element(dp.back().begin(), dp.back().end()) << endl;
}
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