제출 #991169

#제출 시각아이디문제언어결과실행 시간메모리
991169akkshaysrKnapsack (NOI18_knapsack)C++17
100 / 100
98 ms239328 KiB
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define fr first
#define se second
#define rep(i,a,b) for(int i = a; i < (b); ++i)
#define rrep(i,a,b) for(int i = a; i > (b); --i)
#define sz(x) (int)(x).size()
#define all(x) (x).begin(),(x).end()
#define IN(i,l,r) (l<i&&i<r)
#define pb push_back
#define ones __builtin_popcountll
using namespace std;
using namespace __gnu_pbds;
template <class T>
using OSTree = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
typedef pair<int,int> pi;
typedef vector<int> vi;
typedef vector<long long> vll;
typedef long long ll;
struct item{ ll v,w,k; };
int S,N;
vector<vector<item>> items;
ll dp[16400][2001];

int main(){
	cin.tie(0)->sync_with_stdio(false);
	cin >> S >> N;
    items = vector<vector<item>>(S+1);
    rep(i,0,N){
        ll v,w,k; cin >> v >> w >> k;
        items[w].pb({v,w,k});
    }
    vector<pi> obj;
    rep(i,1,S+1){
        sort(all(items[i]),[](item& a, item& b){ return a.v > b.v; });
        int j = 0, mx = S/i;
        for(auto& p : items[i]){
            if(j + p.k < mx){
                rep(i,0,p.k) obj.pb({p.v,p.w});
                j += p.k;
            }else{
                rep(i,j,mx) obj.pb({p.v,p.w});
                break;
            }
        }
    }
    // knapsack on obj
    rep(i,1,sz(obj)+1){
        rep(j,obj[i-1].se,S+1){
            dp[i][j] = max(dp[i-1][j], dp[i-1][j-obj[i-1].se] + obj[i-1].fr);
        }
    }
    cout << dp[sz(obj)][S] << '\n';
}
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