結果

問題 No.2741 Balanced Choice
ユーザー siro53
提出日時 2024-04-20 12:53:17
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 117 ms / 2,000 ms
コード長 15,454 bytes
コンパイル時間 3,095 ms
コンパイル使用メモリ 210,768 KB
最終ジャッジ日時 2025-02-21 06:22:55
ジャッジサーバーID
（参考情報） 		judge3 / judge2
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2
other AC * 10
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ソースコード

diff #
プレゼンテーションモードにする

#line 1 "combined.cpp"
#pragma region Macros
#include <bits/stdc++.h>
using namespace std;
// input output utils
namespace siro53_io {
    // https://maspypy.github.io/library/other/io_old.hpp
    struct has_val_impl {
        template <class T>
        static auto check(T &&x) -> decltype(x.val(), std::true_type{});
        template <class T> static auto check(...) -> std::false_type;
    };
    template <class T>
    class has_val : public decltype(has_val_impl::check<T>(std::declval<T>())) {
    };
    // debug
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    void dump(const T t) {
        cerr << t;
    }
    template <class T, enable_if_t<is_floating_point<T>::value, int> = 0>
    void dump(const T t) {
        cerr << t;
    }
    template <class T, typename enable_if<has_val<T>::value>::type * = nullptr>
    void dump(const T &t) {
        cerr << t.val();
    }
    void dump(__int128_t n) {
        if(n == 0) {
            cerr << '0';
            return;
        } else if(n < 0) {
            cerr << '-';
            n = -n;
        }
        string s;
        while(n > 0) {
            s += (char)('0' + n % 10);
            n /= 10;
        }
        reverse(s.begin(), s.end());
        cerr << s;
    }
    void dump(const string &s) { cerr << s; }
    void dump(const char *s) {
        int n = (int)strlen(s);
        for(int i = 0; i < n; i++) cerr << s[i];
    }
    template <class T1, class T2> void dump(const pair<T1, T2> &p) {
        cerr << '(';
        dump(p.first);
        cerr << ',';
        dump(p.second);
        cerr << ')';
    }
    template <class T> void dump(const vector<T> &v) {
        cerr << '{';
        for(int i = 0; i < (int)v.size(); i++) {
            dump(v[i]);
            if(i < (int)v.size() - 1) cerr << ',';
        }
        cerr << '}';
    }
    template <class T> void dump(const set<T> &s) {
        cerr << '{';
        for(auto it = s.begin(); it != s.end(); it++) {
            dump(*it);
            if(next(it) != s.end()) cerr << ',';
        }
        cerr << '}';
    }
    template <class Key, class Value> void dump(const map<Key, Value> &mp) {
        cerr << '{';
        for(auto it = mp.begin(); it != mp.end(); it++) {
            dump(*it);
            if(next(it) != mp.end()) cerr << ',';
        }
        cerr << '}';
    }
    template <class Key, class Value>
    void dump(const unordered_map<Key, Value> &mp) {
        cerr << '{';
        for(auto it = mp.begin(); it != mp.end(); it++) {
            dump(*it);
            if(next(it) != mp.end()) cerr << ',';
        }
        cerr << '}';
    }
    template <class T> void dump(const deque<T> &v) {
        cerr << '{';
        for(int i = 0; i < (int)v.size(); i++) {
            dump(v[i]);
            if(i < (int)v.size() - 1) cerr << ',';
        }
        cerr << '}';
    }
    template <class T> void dump(queue<T> q) {
        cerr << '{';
        while(!q.empty()) {
            dump(q.front());
            if((int)q.size() > 1) cerr << ',';
            q.pop();
        }
        cerr << '}';
    }
    void debug_print() { cerr << endl; }
    template <class Head, class... Tail>
    void debug_print(const Head &h, const Tail &...t) {
        dump(h);
        if(sizeof...(Tail)) dump(' ');
        debug_print(t...);
    }
    // print
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    void print_single(const T t) {
        cout << t;
    }
    template <class T, enable_if_t<is_floating_point<T>::value, int> = 0>
    void print_single(const T t) {
        cout << t;
    }
    template <class T, typename enable_if<has_val<T>::value>::type * = nullptr>
    void print_single(const T t) {
        cout << t.val();
    }
    void print_single(__int128_t n) {
        if(n == 0) {
            cout << '0';
            return;
        } else if(n < 0) {
            cout << '-';
            n = -n;
        }
        string s;
        while(n > 0) {
            s += (char)('0' + n % 10);
            n /= 10;
        }
        reverse(s.begin(), s.end());
        cout << s;
    }
    void print_single(const string &s) { cout << s; }
    void print_single(const char *s) {
        int n = (int)strlen(s);
        for(int i = 0; i < n; i++) cout << s[i];
    }
    template <class T1, class T2> void print_single(const pair<T1, T2> &p) {
        print_single(p.first);
        cout << ' ';
        print_single(p.second);
    }
    template <class T> void print_single(const vector<T> &v) {
        for(int i = 0; i < (int)v.size(); i++) {
            print_single(v[i]);
            if(i < (int)v.size() - 1) cout << ' ';
        }
    }
    template <class T> void print_single(const set<T> &s) {
        for(auto it = s.begin(); it != s.end(); it++) {
            print_single(*it);
            if(next(it) != s.end()) cout << ' ';
        }
    }
    template <class T> void print_single(const deque<T> &v) {
        for(int i = 0; i < (int)v.size(); i++) {
            print_single(v[i]);
            if(i < (int)v.size() - 1) cout << ' ';
        }
    }
    template <class T> void print_single(queue<T> q) {
        while(!q.empty()) {
            print_single(q.front());
            if((int)q.size() > 1) cout << ' ';
            q.pop();
        }
    }
    void print() { cout << '\n'; }
    template <class Head, class... Tail>
    void print(const Head &h, const Tail &...t) {
        print_single(h);
        if(sizeof...(Tail)) print_single(' ');
        print(t...);
    }
    // input
    template <class T, enable_if_t<is_integral<T>::value, int> = 0>
    void input_single(T &t) {
        cin >> t;
    }
    template <class T, enable_if_t<is_floating_point<T>::value, int> = 0>
    void input_single(T &t) {
        cin >> t;
    }
    template <class T, typename enable_if<has_val<T>::value>::type * = nullptr>
    void input_single(T &t) {
        cin >> t;
    }
    void input_single(__int128_t &n) {
        string s;
        cin >> s;
        if(s == "0") {
            n = 0;
            return;
        }
        bool is_minus = false;
        if(s[0] == '-') {
            s = s.substr(1);
            is_minus = true;
        }
        n = 0;
        for(int i = 0; i < (int)s.size(); i++) n = n * 10 + (int)(s[i] - '0');
        if(is_minus) n = -n;
    }
    void input_single(string &s) { cin >> s; }
    template <class T1, class T2> void input_single(pair<T1, T2> &p) {
        input_single(p.first);
        input_single(p.second);
    }
    template <class T> void input_single(vector<T> &v) {
        for(auto &e : v) input_single(e);
    }
    void input() {}
    template <class Head, class... Tail> void input(Head &h, Tail &...t) {
        input_single(h);
        input(t...);
    }
}; // namespace siro53_io
#ifdef DEBUG
#define debug(...)                                                             \
    cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debug_print(__VA_ARGS__)
#else
#define debug(...) (void(0))
#endif
// io setup
struct Setup {
    Setup() {
        cin.tie(0);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(15);
    }
} __Setup;
using namespace siro53_io;
// types
using ll = long long;
using i128 = __int128_t;
// input macros
#define INT(...)                                                               \
    int __VA_ARGS__;                                                           \
    input(__VA_ARGS__)
#define LL(...)                                                                \
    ll __VA_ARGS__;                                                            \
    input(__VA_ARGS__)
#define STRING(...)                                                            \
    string __VA_ARGS__;                                                        \
    input(__VA_ARGS__)
#define CHAR(...)                                                              \
    char __VA_ARGS__;                                                          \
    input(__VA_ARGS__)
#define DBL(...)                                                               \
    double __VA_ARGS__;                                                        \
    input(__VA_ARGS__)
#define LD(...)                                                                \
    long double __VA_ARGS__;                                                   \
    input(__VA_ARGS__)
#define UINT(...)                                                              \
    unsigned int __VA_ARGS__;                                                  \
    input(__VA_ARGS__)
#define ULL(...)                                                               \
    unsigned long long __VA_ARGS__;                                            \
    input(__VA_ARGS__)
#define VEC(name, type, len)                                                   \
    vector<type> name(len);                                                    \
    input(name);
#define VEC2(name, type, len1, len2)                                           \
    vector name(len1, vector<type>(len2));                                     \
    input(name);
// other macros
// https://trap.jp/post/1224/
#define OVERLOAD3(_1, _2, _3, name, ...) name
#define ALL(v) (v).begin(), (v).end()
#define RALL(v) (v).rbegin(), (v).rend()
#define REP1(i, n) for(int i = 0; i < int(n); i++)
#define REP2(i, a, b) for(int i = (a); i < int(b); i++)
#define REP(...) OVERLOAD3(__VA_ARGS__, REP2, REP1)(__VA_ARGS__)
#define SORT(v) sort(ALL(v))
#define RSORT(v) sort(RALL(v))
#define UNIQUE(v)                                                              \
    sort(ALL(v)), (v).erase(unique(ALL(v)), (v).end()), v.shrink_to_fit()
#define REV(v) reverse(ALL(v))
#define SZ(v) ((int)(v).size())
#define MIN(v) (*min_element(ALL(v)))
#define MAX(v) (*max_element(ALL(v)))
// util const
const int INF = 1 << 30;
const ll LLINF = 1LL << 60;
constexpr int MOD = 1000000007;
constexpr int MOD2 = 998244353;
const int dx[4] = {1, 0, -1, 0};
const int dy[4] = {0, 1, 0, -1};
// util functions
void Case(int i) { cout << "Case #" << i << ": "; }
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
template <class T> inline bool chmax(T &a, T b) {
    return (a < b ? a = b, true : false);
}
template <class T> inline bool chmin(T &a, T b) {
    return (a > b ? a = b, true : false);
}
template <class T, int dim>
auto make_vector_impl(vector<int>& sizes, const T &e) {
    if constexpr(dim == 1) {
        return vector(sizes[0], e);
    } else {
        int n = sizes[dim - 1];
        sizes.pop_back();
        return vector(n, make_vector_impl<T, dim - 1>(sizes, e));
    }
}
template <class T, int dim>
auto make_vector(const int (&sizes)[dim], const T &e = T()) {
    vector<int> s(dim);
    for(int i = 0; i < dim; i++) s[i] = sizes[dim - i - 1];
    return make_vector_impl<T, dim>(s, e);
}
#pragma endregion Macros
#line 2 "/Users/siro53/kyo-pro/compro_library/data-structure/segtree/segtree.hpp"
#line 5 "/Users/siro53/kyo-pro/compro_library/data-structure/segtree/segtree.hpp"
template <class Monoid> class Segtree {
  public:
    using T = typename Monoid::value_type;
    Segtree() : Segtree(0) {}
    explicit Segtree(int n) : Segtree(std::vector<T>(n, Monoid::e())) {}
    explicit Segtree(const std::vector<T> &v) : N((int)v.size()), sz(1) {
        while(sz < N) sz <<= 1;
        node.resize(sz * 2, Monoid::e());
        for(int i = 0; i < N; i++) node[i + sz] = v[i];
        for(int i = sz - 1; i >= 1; i--) {
            node[i] = Monoid::op(node[i << 1], node[i << 1 | 1]);
        }
    }
    void set(int pos, T val) {
        assert(0 <= pos && pos < N);
        pos += sz;
        node[pos] = val;
        while(pos > 1) {
            pos >>= 1;
            node[pos] = Monoid::op(node[pos << 1], node[pos << 1 | 1]);
        }
    }
    T get(int pos) const {
        assert(0 <= pos && pos < N);
        return node[pos + sz];
    }
    void apply(int pos, T val) {
        this->set(pos, Monoid::op(this->get(pos), val));
    }
    T prod(int l, int r) const {
        assert(0 <= l && l <= r && r <= N);
        T value_l = Monoid::e(), value_r = Monoid::e();
        l += sz;
        r += sz;
        while(l < r) {
            if(l & 1) value_l = Monoid::op(value_l, node[l++]);
            if(r & 1) value_r = Monoid::op(node[--r], value_r);
            l >>= 1;
            r >>= 1;
        }
        return Monoid::op(value_l, value_r);
    }
    T all_prod() const { return node[1]; }
    template <class F> int max_right(int l, F f) const {
        assert(0 <= l && l <= N);
        assert(f(Monoid::e()));
        if(l == N) return N;
        l += sz;
        T value_now = Monoid::e();
        do {
            while((l & 1) == 0) l >>= 1;
            if(!f(Monoid::op(value_now, node[l]))) {
                while(l < sz) {
                    l = 2 * l;
                    if(f(Monoid::op(value_now, node[l]))) {
                        value_now = Monoid::op(value_now, node[l]);
                        l++;
                    }
                }
                return (l - sz);
            }
            value_now = Monoid::op(value_now, node[l]);
            l++;
        } while((l & -l) != l);
        return N;
    }
    template <class F> int min_left(int r, F f) const {
        assert(0 <= r && r <= N);
        assert(f(Monoid::e()));
        if(r == 0) return 0;
        r += sz;
        T value_now = Monoid::e();
        do {
            r--;
            while(r > 1 && (r & 1)) r >>= 1;
            if(!f(Monoid::op(node[r], value_now))) {
                while(r < sz) {
                    r = 2 * r + 1;
                    if(f(Monoid::op(node[r], value_now))) {
                        value_now = Monoid::op(node[r], value_now);
                        r--;
                    }
                }
                return ((r + 1) - sz);
            }
            value_now = Monoid::op(node[r], value_now);
        } while((r & -r) != r);
        return 0;
    }
  private:
    int N, sz;
    std::vector<T> node;
};
#line 2 "/Users/siro53/kyo-pro/compro_library/data-structure/monoid/max.hpp"
#line 5 "/Users/siro53/kyo-pro/compro_library/data-structure/monoid/max.hpp"
template <typename T, T MINUS_INF = std::numeric_limits<T>::min()> struct MonoidMax {
    using value_type = T;
    inline static T op(const T &l, const T &r) { return std::max(l, r); }
    inline static T e() { return MINUS_INF; }
};
#line 335 "combined.cpp"
void solve() {
    INT(N, W, D);
    vector<int> t(N), w(N), v(N);
    REP(i, N) cin >> t[i] >> w[i] >> v[i];
    auto dp = make_vector<ll>({2, W+1}, -LLINF);
    dp[0][0] = dp[1][0] = 0;
    REP(i, N) {
        auto new_dp = make_vector<ll>({2, W+1}, -LLINF);
        REP(j, 2) {
            REP(k, W+1) {
                if(dp[j][k] == -LLINF) continue;
                chmax(new_dp[j][k], dp[j][k]);
                if(j == t[i] and k + w[i] <= W) {
                    chmax(new_dp[j][k + w[i]], dp[j][k] + v[i]);
                }
            }
        }
        dp = move(new_dp);
    }
    Segtree<MonoidMax<ll>> seg(dp[1]);
    ll ans = 0;
    REP(j, W+1) {
        if(dp[0][j] == -LLINF) continue;
        int l = max(0, j - D);
        int r = min(j + D, W - j) + 1;
        if(l < r) {
            ll mx = seg.prod(l, r);
            if(mx >= 0) chmax(ans, dp[0][j] + mx);
        }
    }
    print(ans);
}
int main() {
    int T = 1;
    // cin >> T;
    while(T--) solve();
}
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