Submission #1147226

#	Time	Username	Problem	Language	Result	Execution time	Memory
1147226		lidplf	Knapsack (NOI18_knapsack)	C++20	100 / 100	81 ms	66116 KiB

knapsack

#include <bits/stdc++.h>
#define pii pair<int,int>
#define pb push_back
#define yes "YES"
#define no "NO"
#define ll long long
#define MOD 1000000007
#define all(x) x.begin(),x.end()
#define MOD2 998244353
using namespace std;

void solve(int cas){ 
    ll s,n; cin>>s>>n;
    vector<vector<pair<ll,ll>>> g(s+1);
    for (int i = 0; i < n; i++){
        ll v,w,k; cin>>v>>w>>k;
        g[w].emplace_back(make_pair(v,k));
    }
    for (int i = 0; i <= s; i++){
        sort(g[i].rbegin(), g[i].rend());
    }
    vector<vector<ll>> nums(s+1);
    for (int i = 0; i <= s; i++){
        int p = 0;
        while (p < g[i].size() && nums[i].size() < s){
            while (g[i][p].second > 0 && nums[i].size() < s){
                nums[i].emplace_back(g[i][p].first);
                g[i][p].second--;
            }
            p++;
        }
    }
    ll dp[s+2][s+1];
    memset(dp, 0, sizeof dp);
    
    for (int i = s; i >= 0; i--){
        for (int weight = 0; weight <= s; weight++){
            dp[i][weight] = dp[i+1][weight];
            int p = 0;
            ll sm = weight, add = 0;
            while (p < nums[i].size() && sm <= s){
                sm += i;
                add += nums[i][p];
                p++;
                if (sm <= s){
                    dp[i][weight] = max(dp[i][weight], add + dp[i+1][sm]);
                }
            }
        }
    }
    cout << dp[1][0] << '\n';
}
 
int main(){
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    int t = 1;
    //cin>>t;
    for (int i = 1; i <= t; i++){
        solve(i);
    }
    return 0;
}

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