Submission #1294416

#	Time	Username	Problem	Language	Result	Execution time	Memory
1294416		linuss	Knapsack (NOI18_knapsack)	C++20	73 / 100	1094 ms	576 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;
#define ll long long
vector<ll> solve(ll x){
    vector<ll> ans;
    ans.push_back(1);
    x-=1;
    ll n = 2;
    for (int i = 1; i<floor(log2(x))+1; i++){
        if (n<=x) {x-=n; ans.push_back(n);}
        n = n*2;
    }
    ans.push_back(x);
    return ans;
}
int main(){
    iostream::sync_with_stdio(false);
    cin.tie(nullptr);
    int s, n;
    cin >> s >> n;
    vector<ll> dp(s+1, 0);
    for (int i = 0; i<n; i++){
        ll a, b, c;
        cin >> a >> b >> c;
        for (ll x : solve(c)){
            ll n1 = b*x;
            ll a1 = a*x;
            for (ll j = s; j>=n1; j--){
                
                if (j==n1) dp[j]=max(dp[j], a1);
                if (dp[j-n1]!=0) dp[j]=max(dp[j-n1] + a1, dp[j]);
            }
        }
    }
    // for (auto i : dp){
    //     cout << i << " ";
    // }
    // cout << "\n";
    ll m = 0;
    for (auto i : dp){
        m = max(m, i);
    }
    cout << m << endl;


    return 0;
}

• Subtask 1: 12 / 12
• Subtask 2: 17 / 17
• Subtask 3: 20 / 20
• Subtask 4: 24 / 24
• Subtask 5: 0 / 27