Submission #1124714

#	Time	Username	Problem	Language	Result	Execution time	Memory
1124714		_callmelucian	Knapsack (NOI18_knapsack)	C++17	73 / 100	1095 ms	4564 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pl;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tpl;

#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())

const int mn = 1e5 + 5;
ll V[mn], W[mn], K[mn], dp[2][2020], used[2020];

struct dqTrick {
    deque<ll> dq;

    void push (ll x) {
        while (dq.size() && dq.back() < x) dq.pop_back();
        dq.push_back(x);
    }

    void pop (ll x) {
        if (dq.size() && dq.front() == x) dq.pop_front();
    }

    ll best() { return (dq.empty() ? LLONG_MIN : dq.front()); }
};

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);

    int S, n; cin >> S >> n;
    for (int i = 1; i <= n; i++) cin >> V[i] >> W[i] >> K[i];

    vector<int> ord(n);
    for (int i = 1; i <= n; i++) ord[i - 1] = i;
    sort(all(ord), [&] (int a, int b) { return V[a] > V[b]; });

    int t = 0;
    for (int i : ord) {
        if (used[W[i]] * W[i] > S) continue;
        vector<dqTrick> opt(W[i]);
        for (int j = 0; j <= S; j++) {
            int R = j % W[i], D = j / W[i];
            opt[R].push(dp[t ^ 1][j] - D * V[i]);
            if (j >= W[i] * (K[i] + 1))
                opt[R].pop(dp[t ^ 1][j - W[i] * (K[i] + 1)] - (D - K[i] - 1) * V[i]);

            dp[t][j] = opt[R].best() + D * V[i];
        }
        t ^= 1, used[W[i]] += K[i];
    }
    cout << dp[t ^ 1][S];

    return 0;
}

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