Submission #1284413

#	Time	Username	Problem	Language	Result	Execution time	Memory
1284413		tnt	Knapsack (NOI18_knapsack)	C++20	100 / 100	39 ms	2040 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;

#define pb push_back                    
#define ll long long 
#define s second
#define f first
#define all(v) v.begin(),v.end()
const long long inf = 2e9 + 7;
const int N = 2000 + 101;
vector <pair<int,int>> g[N];
void solve(){     
    int s,n;
    cin >> s >> n;
    vector <int> dp(s + 10,-inf);
    dp[0] = 0;
    for(int i = 1; i <= n; i++){
        int v,w,k;
        cin >> v >> w >> k;
        k = min(k,s);
        g[w].pb({v,k});
    }
    for(int i = 1; i <= s; i++){
        sort(all(g[i]));
        reverse(all(g[i]));
    }
    vector <pair<int,int>> a;
    for(int i = 1; i <= s; i++){
        int d = s / i,j = 0;
        while(d > 0){
            if(j >= g[i].size()) break;
            a.pb({i,g[i][j].f});
            g[i][j].s--,d--;
            if(g[i][j].s == 0) j++;
        }    
    }
    for(int i = 0; i < a.size(); i++){
        for(int j = s; j >= a[i].f; j--){
            if(dp[j] < dp[j - a[i].f] + a[i].s) dp[j] = dp[j - a[i].f] + a[i].s;
        }
    }
    int mx = 0;
    for(int i = 1; i <= s; i++) mx = max(mx,dp[i]);
    cout << mx;
}
signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    //freopen("promote.in", "r", stdin);
    //freopen("promote.out", "w", stdout);
    int t = 1;
    while(t--){
     	solve();
    }
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 27 / 27