Submission #563122

#	Time	Username	Problem	Language	Result	Execution time	Memory
563122		HmmOkKewl	Knapsack (NOI18_knapsack)	C++14	100 / 100	252 ms	247812 KiB

knapsack

#include <bits/stdc++.h>

#if ONLINE_JUDGE
#define DEBUG(...)
#else
#define DEBUG(kek) cout << "DEBUG: [ " << #kek << " = " << kek << " ]\n"
#endif

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;

#define ff first
#define ss second
#define vt(...) vector<__VA_ARGS__>
#define sz(...) (int)(__VA_ARGS__).size()
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pb push_back
#define mp make_pair
#define all(x) x.begin(), x.end()

constexpr int M = 1000000007;
constexpr int MONKE = 0;

using namespace std;

template <typename T1, typename T2>
ostream& operator<<(ostream& os, pair<T1, T2>& a) {
    os << "{" << a.first << ", " << a.second << "}";
    return os;
}

template <typename T>
ostream& operator<<(ostream& os, vector<T> container) {
    os << "\n[ ";
    for (auto x : container)
        os << x << " ";
    os << "]\n";
    return os;
}

template <typename T1, typename T2>
bool sort_by_second_greater(const pair<T1, T2>& a, const pair<T1, T2>& b) {
    return (a.ss > b.ss);
}

int main() {
    // unsync with C stream :)
    ios_base::sync_with_stdio(MONKE);
    cin.tie(0);
    // todo
    int S, n;
    cin >> S >> n;
    vector<tuple<int, int, int>> items(n);
    for (int i = 0; i < n; ++i) {
        int v, w, k;
        cin >> v >> w >> k;
        items[i] = {v, w, k};
    }
    vt(vt(pii)) groups(S + 1);
    for (int i = 0; i < n; ++i) {
        int idx = get<1>(items[i]);
        groups[idx].pb({get<0>(items[i]), get<2>(items[i])});
    }
    vector<int> value, weight;
    for (int i = 1; i <= S; ++i)
        sort(all(groups[i]), greater<pii>());

    int validItems = 0;
    for (int i = 1; i <= S; ++i) {
        int mxItems = S / i;
        int taken = 0;
        int itmIdx = 0;
        while (taken < mxItems && itmIdx < sz(groups[i])) {
            int takes = min(mxItems - taken, groups[i][itmIdx].ss);
            for (int j = 0; j < takes; ++j) {
                value.pb(groups[i][itmIdx].ff);
                weight.pb(i);
            }
            taken += takes;
            itmIdx++;
        }
        validItems += taken;
    }

    vt(vt(long long)) maxValue(S + 1, vt(long long)(validItems, 0));
    // cerr << value;
    // cerr << weight;
    for (int i = weight[0]; i <= S; ++i)
        maxValue[i][0] = value[0];
    for (int i = 1; i <= S; ++i) {
        for (int j = 1; j < validItems; ++j) {
            maxValue[i][j] =
                max(maxValue[i][j - 1],
                    (i >= weight[j] ? maxValue[i - weight[j]][j - 1] + value[j]
                                    : 0));
        }
    }
    cout << maxValue[S][validItems - 1];
    return MONKE;
}

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