Submission #1096494

#	Time	Username	Problem	Language	Result	Execution time	Memory
1096494		lmToT27	Knapsack (NOI18_knapsack)	C++17	100 / 100	67 ms	66388 KiB

knapsack

#include <bits/stdc++.h>
#define all(dataStructure) dataStructure.begin(),dataStructure.end()
#define ll long long

using namespace std;
namespace std {
        template <typename T, int D>
        struct _vector : public vector <_vector <T, D - 1>> {
                static_assert(D >= 1, "Dimension must be positive!");
                template <typename... Args>
                _vector(int n = 0, Args... args) : vector <_vector <T, D - 1>> (n, _vector <T, D - 1> (args...)) {}
        };
        // _vector <int, 3> a(n, m, k);: int a[n][m][k].
        // _vector <int, 3> a(n, m, k, x);: int a[n][m][k] initialized with x.
        template <typename T>
        struct _vector <T, 1> : public vector <T> {
                _vector(int n = 0, const T& val = T()) : vector <T> (n, val) {}
        };
}

const int MAX = 2e3 + 3;
const ll MOD[] = {1000000007, 998244353};

int S, n;
ll f[MAX][MAX];
ll dp[MAX][MAX];

vector <pair <int, int>> items[MAX];

void Solve() {
        cin >> S >> n;
        for (int i = 0; i < n; i++) {
                int v, w, k;
                cin >> v >> w >> k;
                items[w].emplace_back(v, k);
        }
        for (int i = 1; i <= S; i++) {
                int pos = 1;
                sort(all(items[i]));
                reverse(all(items[i]));
                for (auto &&[v, k] : items[i]) {
                        f[i][min(pos + k - 1, S)] = v;
                        pos += k;
                        if (pos > S) break;
                }
                for (int j = S - 1; j >= 1; j--) f[i][j] = max(f[i][j], f[i][j + 1]);
                for (int j = 1; j <= S; j++) f[i][j] += f[i][j - 1];
                for (int j = 1; j <= S; j++) {
                        for (int k = 0; k * i <= j; k++) dp[i][j] = max(dp[i][j], dp[i - 1][j - k * i] + f[i][k]);
                }
        }
        cout << *max_element(dp[S] + 1, dp[S] + S + 1);
}

int32_t main() {
        ios_base::sync_with_stdio(0);
        cin.tie(0);

        #define TASK "TASK"
        if (fopen(TASK".INP", "r")) {
                freopen(TASK".INP", "r", stdin);
                freopen(TASK".OUT", "w", stdout);
        }
        
        /* int TEST = 1; cin >> TEST; while (TEST--) */ Solve();

        cerr << "\nTime elapsed: " << 1.0 * clock() / CLOCKS_PER_SEC << "s\n";
        return 0;
}

Compilation message (stderr)

knapsack.cpp: In function 'int32_t main()':
knapsack.cpp:61:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   61 |                 freopen(TASK".INP", "r", stdin);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
knapsack.cpp:62:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   62 |                 freopen(TASK".OUT", "w", stdout);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

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