Submission #1212642

#TimeUsernameProblemLanguageResultExecution timeMemory
1212642LinkedArrayKnapsack (NOI18_knapsack)C++17
17 / 100
1 ms328 KiB
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
#define int ll

// 2 ^ 10 ~= 10 ^ 3 => 2 ^ 30 > 10 ^ 9
const int MAX_N = 1e5, MAX_S = 2e3, MAX_K = 1e9, MAX_K_BIT = 30;

int v[MAX_N + 1], wi[MAX_N + 1], k[MAX_N + 1];
vector<pair<int, int>> items;
int dp[MAX_S + 1];

signed main () {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    
    int s, n, i, j, w, new_w, put2;
    
    cin >> s >> n;
    for (i = 1; i <= n; i++) {
        cin >> v[i] >> wi[i] >> k[i];
        
        put2 = 1;
        while (put2 <= k[i]) {
            items.push_back(make_pair(wi[i] * put2, v[i] * put2));
            put2 *= 2;
        }
    }
    
    // bounded
    for (auto [item_w, item_v] : items) {
        // cout << "[" << item_w << ", " << item_v << "]\n";
        for (w = s; w >= 0; w--) {
            new_w = w + item_w;
            if (new_w <= s) {
                dp[new_w] = max(dp[new_w], dp[w] + item_v);
            }
        }
    }

    
    cout << dp[s];
    return 0;
}
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