Submission #1193727

#TimeUsernameProblemLanguageResultExecution timeMemory
1193727tahir98Knapsack (NOI18_knapsack)C++20
73 / 100
1096 ms18564 KiB
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define double long double
#define pb push_back
#define F first
#define S second
const int N = 2e5 + 5;

int dp[N] , a[N] , b[N] , k[N];

void solve()
{
    /*
    20

    11 19
    10 10
    10 10
    9 3


    dp[w] --- en coxu w cekisi ucun max value
    */
    int n , s;
    cin >> s >> n;
    vector<pair<int , int> > v;
    for(int i = 0; i < n; i++){
        cin >> b[i] >> a[i] >> k[i];
        k[i] = min(k[i] , s / a[i]);
        int j = 1;
        while(k[i] > 0){
            v.pb({a[i] * min(k[i] , j) , b[i] * min(k[i] , j)});
            k[i] -= j;
            j *= 2;
        }
    }
    /*
    n * k * s


    k ni min sayda ededlerin cemi seklinde yazki
    1 . .... k ya


    3 kq
    10 man
    7 dene


    3 kq
    10 man


    6 kq
    20 man

    12 kq
    40 man


    100


    3 kq
    10 man


    6 kq
    20 man

    12 kq
    40 man


    8

    16


    32

    37
    */

    for(auto i : v){
        int w = i.F , v = i.S;
        for(int j = s; j >= w; j--){
            dp[j] = max(dp[j] , dp[j - w] + v);
        }
    }
    cout << dp[s] << '\n';
}

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int T = 1;
    //cin >> T;
    while(T--)
        solve();
}
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