Submission #690445

#TimeUsernameProblemLanguageResultExecution timeMemory
690445vjudge1Knapsack (NOI18_knapsack)C++17
0 / 100
1 ms596 KiB
#include <bits/stdc++.h>
using namespace std;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int W, n;
    cin >> W >> n;
    vector<array<long long, 2>> a;

    for (int i = 0; i < n; i++) {
        long long v, w, cnt;
        cin >> v >> w >> cnt;
        int hbp = 31 - __builtin_clz(cnt);
        for (int k = 0; k < hbp; k++) {
            a.push_back({ v * (1 << k), w * (1 << k) });
        }
        cnt -= (1 << hbp) - 1;
        for (int k = 0; k < 31; k++) {
            if (cnt >> k & 1) {
                a.push_back({ v * (1 << k), w * (1 << k) });
            }
        }
    }

    n = a.size();

    vector<vector<long long>> dp(n + 1, vector<long long>(W + 1, 0));

    for (int i = 1; i <= n; i++) {
        for (int w = 0; w <= W; w++) {
            if (w - a[i - 1][1] >= 0) {
                dp[i][w] = max( dp[i][w], dp[i - 1][w - a[i - 1][1]] + a[i - 1][0] );
            }
        }
    }

    cout << *max_element(dp[n].begin(), dp[n].end()) << "\n";
}
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