Submission #1143643

#	Time	Username	Problem	Language	Result	Execution time	Memory
1143643		xnscdev	Knapsack (NOI18_knapsack)	C++20	100 / 100	66 ms	33096 KiB

knapsack

// https://oj.uz/problem/view/NOI18_knapsack

#ifndef DEBUG
#pragma GCC optimize("O3,unroll-loops")
#endif

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/trie_policy.hpp>

#if defined(DEBUG) && defined(DEBUG_UTIL)
#include "dsa_util.h"
#endif

// clang-format off
using namespace std;
using namespace __gnu_pbds;
using ll = long long;
using ull = unsigned long long;

constexpr int INF = 0x3f3f3f3f;
constexpr ll INFL = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-9;
constexpr int dx[4] = {1, -1, 0, 0};
constexpr int dy[4] = {0, 0, 1, -1};

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

bool inside(int x, int y, int n, int m) { return x >= 0 && x < n && y >= 0 && y < m; }

template <typename T> using min_priority_queue = priority_queue<T, vector<T>, greater<>>;
template <typename T, typename Comp = less<>> using ordered_set = tree<T, null_type, Comp, rb_tree_tag, tree_order_statistics_node_update>;
using pref_trie = trie<string, null_type, trie_string_access_traits<>, pat_trie_tag, trie_prefix_search_node_update>;

template <typename, typename = void> struct is_iterable : false_type {};
template <typename T> struct is_iterable<T, void_t<decltype(declval<T>().begin()), decltype(declval<T>().end())>> : true_type {};
template <> struct is_iterable<string> : false_type {};
template <typename T> constexpr bool is_iterable_v = is_iterable<T>::value;
template <typename T, typename V = enable_if_t<is_iterable_v<T>, typename T::value_type>> ostream &operator<<(ostream &os, const T &t) { for (const V &v : t) os << v << ' '; return os; }
template <typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &p) { return os << '(' << p.first << ' ' << p.second << ')'; }
void dbg_header_(const char *f, int l, const char *e) { cout << "\033[35m(" << f << ':' << l << ") \033[1m" << e << ":\033[0m "; }
template <typename T, typename = enable_if_t<!is_iterable_v<T>>> void dbg_(const T &t, const char *f, int l, const char *e) { dbg_header_(f, l, e); cout << "\033[33;1m" << t << "\033[0m" << endl; }
template <typename T, typename V = enable_if_t<is_iterable_v<T> && !is_iterable_v<typename T::value_type>, typename T::value_type>, typename = void> void dbg_(const T &t, const char *f, int l, const char *e) { dbg_header_(f, l, e); cout << "\033[33;1m"; for (const V &v : t) cout << v << ' '; cout << "\033[0m" << endl; }
template <typename T, typename = enable_if_t<is_iterable_v<T> && is_iterable_v<typename T::value_type>, typename T::value_type>, typename = void, typename = void> void dbg_(const T &t, const char *f, int l, const char *e) { dbg_header_(f, l, e); cout << '\n'; for (int i = 0; i < t.size(); i++) cout << "\033[36m" << i << ":\033[33;1m " << t[i] << "\033[0m" << endl; }
#ifdef DEBUG
#define dbg(t) dbg_((t), __func__, __LINE__, #t)
#else
#define dbg(t)
#endif
// clang-format on

void solve()
{
#ifdef DEBUG
    cout << "\033[31;1m======================================================================\033[0m" << endl;
#endif
    int s, n;
    cin >> s >> n;
    map<int, vector<pair<int, int>>> m;
    for (int i = 0; i < n; i++)
    {
        int v, w, k;
        cin >> v >> w >> k;
        m[w].emplace_back(v, k);
    }
    vector dp(m.size() + 1, vector<ll>(s + 1, -INFL));
    dp[0][0] = 0;
    int a = 1;
    for (auto &[w, x] : m)
    {
        ranges::sort(x, greater());
        for (int i = 0; i <= s; i++)
        {
            dp[a][i] = dp[a - 1][i];
            int curr = 0;
            int used = 0;
            int c = 0;
            ll score = 0;
            while ((c + 1) * w <= i && curr < x.size())
            {
                c++;
                score += x[curr].first;
                if (dp[a - 1][i - c * w] != -INFL)
                    dp[a][i] = max(dp[a][i], dp[a - 1][i - c * w] + score);
                if (++used == x[curr].second)
                {
                    used = 0;
                    curr++;
                }
            }
        }
        a++;
    }
    cout << *ranges::max_element(dp.back()) << endl;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int t = 1;
    // cin >> t;
    while (t--)
        solve();
}

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