結果

問題 No.2364 Knapsack Problem
ユーザー 👑 eoeoeoeo
提出日時 2023-07-01 16:47:41
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 4 ms / 3,000 ms
コード長 6,736 bytes
コンパイル時間 3,376 ms
コンパイル使用メモリ 253,336 KB
実行使用メモリ 5,376 KB
最終ジャッジ日時 2024-07-08 02:53:52
合計ジャッジ時間 3,404 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge3
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,376 KB
testcase_02 AC 1 ms
5,376 KB
testcase_03 AC 1 ms
5,376 KB
testcase_04 AC 1 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 1 ms
5,376 KB
testcase_07 AC 3 ms
5,376 KB
testcase_08 AC 2 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 4 ms
5,376 KB
testcase_13 AC 3 ms
5,376 KB
testcase_14 AC 4 ms
5,376 KB
testcase_15 AC 4 ms
5,376 KB
testcase_16 AC 4 ms
5,376 KB
testcase_17 AC 3 ms
5,376 KB
testcase_18 AC 4 ms
5,376 KB
testcase_19 AC 4 ms
5,376 KB
testcase_20 AC 3 ms
5,376 KB
testcase_21 AC 4 ms
5,376 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#ifdef MY_DEBUG
#define dbg(...) debug_out(__VA_ARGS__)
#define dbgn(var) debug_out(#var, "=", var)
#else
#define dbg(...)
#define dbgn(...)
#endif
void debug_out();
template <class Head, class... Tail> void debug_out(Head, Tail...);
template <class T> bool chmax(T&, const T&);
template <class T> bool chmin(T&, const T&);
template <class T> T pwr(T, ll);
template <class T> T squ(T x) { return x * x; }
ll fact(ll);
ll comb(ll, ll);
ll ctoll(char);
char lltoc(ll);
bool flg(ll b, ll i) { return ((b) >> (i)) & 1LL; }  // flg(0b010, 1LL) -> true
const ll LINF = (ll)1e18 + 7;
const double EPS = 1e-9;
const int MAX_DUBUG_SIZE = 30;

void solve([[maybe_unused]] int test) {
    ll n, m, w;
    cin >> n >> m >> w;
    vector<ll> a(n), b(n), c(m), d(m);
    for (ll i = 0; i < n; i++) {
        cin >> a[i];
    }
    for (ll i = 0; i < n; i++) {
        cin >> b[i];
    }
    for (ll i = 0; i < m; i++) {
        cin >> c[i];
    }
    for (ll i = 0; i < m; i++) {
        cin >> d[i];
    }

    ll sz = n + m;
    vector<ll> w_com(sz), v_com(sz);
    for (ll i = 0; i < n; i++) {
        w_com[i] = a[i];
        v_com[i] = b[i];
    }
    for (ll i = 0; i < m; i++) {
        w_com[i + n] = -c[i];
        v_com[i + n] = -d[i];
    }

    const int max_bit = 1 << sz;
    vector<ll> sum(max_bit);
    for (ll i = 0; i < max_bit; i++) {
        for (ll j = 0; j < sz; j++) {
            if (!flg(i, j)) continue;
            sum[i] += w_com[j];
        }
    }

    vector<ll> dp(max_bit, -LINF);
    dp[0] = 0;
    for (ll i = 0; i < max_bit; i++) {
        for (ll j = 0; j < sz; j++) {
            if (flg(i, j)) continue;
            if (sum[i | (1 << j)] < 0 or w < sum[i | (1 << j)]) continue;
            chmax(dp[i | (1 << j)], dp[i] + v_com[j]);
        }
    }

    ll ans = *max_element(dp.begin(), dp.end());
    cout << ans << endl;
}

int main() {
    cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(12);

    int testcase_size = 1;
    // cin >> testcase_size;

    for (int _t = 0; _t < testcase_size; _t++) {
        solve(_t);
    }
}

/*



























-----------------------------------MY_FUNCTIONS------------------------------------ */
template <class First, class Second> ostream& operator<<(ostream& os, const pair<First, Second>& pp) {
    return os << "{" << pp.first << "," << pp.second << "}";
}

template <class T> ostream& operator<<(ostream& os, const vector<T>& V) {
    if (V.empty()) return os << "[]";
    os << "[";
    for (ll i = 0; i < (ll)V.size(); i++) {
        os << V[i] << (i == int(V.size() - 1) ? "]" : ",");
    }
    return os;
}

template <class T> ostream& operator<<(ostream& os, const vector<vector<T>>& VV) {
    if (VV.empty()) return os << "[[]]";
    os << "[\n";
    for (auto&& V : VV) {
        os << V << "\n";
    }
    os << "]";
    return os;
}

template <class T> ostream& operator<<(ostream& os, const vector<vector<vector<T>>>& VVV) {
    if (VVV.empty()) return os << "[[[]]]";
    os << "["
       << "\n";
    int cnt = 0;
    for (auto&& VV : VVV) {
        os << cnt++ << VV << "\n\n";
    }
    os << "]";
    return os;
}

template <class T> ostream& operator<<(ostream& os, const set<T>& SS) {
    if (SS.empty()) return os << "[]";
    os << "[";
    auto ii = SS.begin();
    for (; ii != SS.end(); ii++) os << *ii << (ii == prev(SS.end()) ? "]" : ",");
    return os;
}

template <class Key, class Tp> ostream& operator<<(ostream& os, const map<Key, Tp>& MM) {
    if (MM.empty()) return os << "[{:}]";
    os << "[";
    auto ii = MM.begin();
    for (; ii != MM.end(); ii++)
        os << "{" << ii->first << ":" << ii->second << "}" << (ii == prev(MM.end()) ? "]" : ",");
    return os;
}

void debug_out() { cerr << endl; }

void debug_out_vl(vector<ll> V) {
    const int MAX_SIZE = min((int)V.size(), MAX_DUBUG_SIZE);

    cerr << "\033[33m";
    if (V.empty()) {
        cerr << "[]" << endl;
        return;
    }
    cerr << "[";
    for (int i = 0; i < MAX_SIZE; i++) {
        if (V[i] == LINF)
            cerr << "INF";
        else
            cerr << V[i];

        if (i == (int)V.size() - 1)
            cerr << "]\n";
        else if (i == MAX_DUBUG_SIZE - 1)
            cerr << ",...\n";
        else
            cerr << ",";
    }
    return;
}

void debug_out_vvl(vector<vector<ll>> VV) {
    cerr << "\033[33m";
    if (VV.empty()) {
        cerr << "[[]]" << endl;
        return;
    }
    cerr << "[\n";

    int MAX_ROW = min((int)VV.size(), MAX_DUBUG_SIZE);
    for (int i = 0; i < MAX_ROW; i++) {
        const int MAX_COLUMN = min((int)VV[i].size(), MAX_DUBUG_SIZE);
        if (VV[i].empty()) {
            cerr << "[]" << endl;
            continue;
        }
        cerr << "[";
        for (int j = 0; j < MAX_COLUMN; j++) {
            if (VV[i][j] == LINF)
                cerr << "INF";
            else
                cerr << VV[i][j];

            if (j == (int)VV[i].size() - 1)
                cerr << "]\n";
            else if (j == MAX_DUBUG_SIZE - 1)
                cerr << ",...\n";
            else
                cerr << ",";
        }

        if (i != (int)VV.size() - 1 and i == MAX_DUBUG_SIZE - 1) {
            cerr << ":\n:\033[m\n";
            return;
        }
    }

    cerr << "]\033[m\n";
    return;
}

template <class Head, class... Tail> void debug_out(Head H, Tail... T) {
    if constexpr (std::is_same_v<Head, vector<ll>>) {
        debug_out_vl(H);
    }
    else if constexpr (std::is_same_v<Head, vector<vector<ll>>>) {
        debug_out_vvl(H);
    }
    else {
        cerr << "\033[33m" << H << "\033[m ";
    }

    debug_out(T...);
}

template <class T> bool chmax(T& a, const T& b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

template <class T> bool chmin(T& a, const T& b) {
    if (b < a) {
        a = b;
        return true;
    }
    return false;
}

template <class T> T pwr(T x, ll n) {
    T res = 1;
    for (int i = 0; i < n; i++) {
        res *= x;
    }
    return res;
}

ll fact(ll n) {
    ll res = 1;
    for (ll i = 1; i <= n; i++) res *= i;
    return res;
}

ll comb(ll n, ll r) {  // comb(60, 30)までオーバーフローなし
    ll res = 1;
    for (int i = 1; i <= r; i++) {
        res *= n--;
        res /= i;
    }
    return res;
}

ll ctoll(char c) {
    if (c < '0' or '9' < c) {
        cerr << "\n\033[33m ctoll に '0'~'9' 以外の文字が入りました．\033[m\n" << endl;
    }
    return ll(c - '0');
}

char lltoc(ll n) {
    if (n < 0 or 9 < n) {
        cerr << "\n\033[33m lltoc に 0 ~ 9 以外の数字が入りました．\033[m\n" << endl;
    }
    return char(n + '0');
}
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