Submission #524047

#TimeUsernameProblemLanguageResultExecution timeMemory
524047shubham20_03Knapsack (NOI18_knapsack)C++17
49 / 100
1099 ms85456 KiB
#include <bits/stdc++.h>
using namespace std;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL);
#define deb(x) cout<<#x<<'='<<x<<'\n';
#define deb2(x,y) cout<<#x<<'='<<x<<", "<<#y<<'='<<y<<'\n';
#define int long long
#define all(x) (x).begin(), (x).end()
#define pii pair<int, int>
#define pb push_back
#define f first
#define s second
#define sz(x) (int)(x).size()
const long double PI = acos(-1);
const int mod = 1e9 + 7, inf = 1e16;
const int D = 2e5 + 10;

map<string, int> mp;

int knapsack(vector<pii>& a, int n, int S) {
    if (S == 0 or n == 0) return 0;

    string key = to_string(n) + " " + to_string(S);
    if (mp.count(key)) return mp[key];

    int ans = knapsack(a, n - 1, S);
    if (a[n - 1].f <= S)
        ans = max(ans, knapsack(a, n - 1, S - a[n - 1].f) + a[n - 1].s);

    return mp[key] = ans;
}

signed main() {
    fastio

    // freopen("../input1.txt", "r", stdin);
    // freopen("../output1.txt", "w", stdout);

    int S, n; cin >> S >> n;
    vector<pii> a;
    for (int i = 0; i < n; i++) {
        int v, w, k; cin >> v >> w >> k;
        int cur = 0;
        while (cur + w <= S and k > 0) {
            a.pb({w, v});
            k--, cur += w;
        }
    }

    n = sz(a);

    cout << knapsack(a, n, S) << '\n';

    return 0;
}
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