#571704 (C++17) No.1151 チャレンジゲーム

提出ソース

結果

問題	No.1151 チャレンジゲーム
ユーザー	haruki_K
提出日時	2020-10-26 17:27:45
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	151 ms / 2,000 ms
コード長	6,051 bytes
コンパイル時間	2,351 ms
コンパイル使用メモリ	213,404 KB
実行使用メモリ	5,888 KB
最終ジャッジ日時	2024-07-21 21:29:35
合計ジャッジ時間	8,202 ms
ジャッジサーバーID （参考情報）	judge4 / judge1

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	2 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	2 ms 5,376 KB
testcase_07	AC	2 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	2 ms 5,376 KB
testcase_13	AC	45 ms 5,376 KB
testcase_14	AC	43 ms 5,376 KB
testcase_15	AC	41 ms 5,376 KB
testcase_16	AC	41 ms 5,376 KB
testcase_17	AC	42 ms 5,376 KB
testcase_18	AC	41 ms 5,376 KB
testcase_19	AC	42 ms 5,376 KB
testcase_20	AC	43 ms 5,376 KB
testcase_21	AC	42 ms 5,376 KB
testcase_22	AC	42 ms 5,376 KB
testcase_23	AC	44 ms 5,376 KB
testcase_24	AC	45 ms 5,376 KB
testcase_25	AC	43 ms 5,376 KB
testcase_26	AC	42 ms 5,376 KB
testcase_27	AC	43 ms 5,376 KB
testcase_28	AC	151 ms 5,888 KB
testcase_29	AC	150 ms 5,888 KB
testcase_30	AC	151 ms 5,632 KB
testcase_31	AC	140 ms 5,888 KB
testcase_32	AC	145 ms 5,888 KB
testcase_33	AC	147 ms 5,760 KB
testcase_34	AC	145 ms 5,760 KB
testcase_35	AC	149 ms 5,888 KB
testcase_36	AC	148 ms 5,760 KB
testcase_37	AC	144 ms 5,888 KB
testcase_38	AC	145 ms 5,760 KB
testcase_39	AC	149 ms 5,760 KB
testcase_40	AC	151 ms 5,632 KB
testcase_41	AC	146 ms 5,760 KB
testcase_42	AC	141 ms 5,888 KB
testcase_43	AC	151 ms 5,760 KB
testcase_44	AC	148 ms 5,760 KB
testcase_45	AC	144 ms 5,888 KB
testcase_46	AC	147 ms 5,888 KB
testcase_47	AC	144 ms 5,760 KB
testcase_48	AC	134 ms 5,760 KB
testcase_49	AC	135 ms 5,888 KB
testcase_50	AC	144 ms 5,760 KB
testcase_51	AC	145 ms 5,888 KB
testcase_52	AC	149 ms 5,888 KB

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ソースコード

raw source code

// >>> TEMPLATES
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
#define int ll
#define double ld
#define rep(i,n) for (int i = 0; i < (int)(n); i++)
#define rep1(i,n) for (int i = 1; i <= (int)(n); i++)
#define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--)
#define rep1R(i,n) for (int i = (int)(n); i >= 1; i--)
#define loop(i,a,B) for (int i = a; i B; i++)
#define loopR(i,a,B) for (int i = a; i B; i--)
#define all(x) begin(x), end(x)
#define allR(x) rbegin(x), rend(x)
#define rng(x,l,r) begin(x) + (l), begin(x) + (r)
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define fst first
#define snd second
template <class Int> auto constexpr inf = numeric_limits<Int>::max()/2-1;
auto constexpr INF32 = inf<int32_t>;
auto constexpr INF64 = inf<int64_t>;
auto constexpr INF   = inf<int>;
#ifdef LOCAL
#include "debug.hpp"
#else
#define dump(...) (void)(0)
#define say(x) (void)(0)
#define debug if (0)
#endif
template <class T, class Comp> struct pque : priority_queue<T, vector<T>, Comp> {
    vector<T> &data() { return this->c; }
    void clear() { this->c.clear(); }
};
template <class T> using pque_max = pque<T, less<T>>;
template <class T> using pque_min = pque<T, greater<T>>;
template <class T, class = typename T::iterator, enable_if_t<!is_same<T, string>::value, int> = 0>
ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, size_t N, enable_if_t<!is_same<T, char>::value, int> = 0>
ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; }
template <class T, class = decltype(begin(declval<T&>())), class = typename enable_if<!is_same<T, string>::value>::type>
istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; }
template <class T, class S> ostream& operator<<(ostream& os, pair<T,S> const& p) { return os << "(" << p.first << ", " << p.second << ")"; }
template <class T, class S> istream& operator>>(istream& is, pair<T,S>& p) { return is >> p.first >> p.second; }
struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup;
template <class F> struct FixPoint : private F {
    constexpr FixPoint(F&& f) : F(forward<F>(f)) {}
    template <class... T> constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward<T>(x)...); }
};
struct MakeFixPoint { template <class F> constexpr auto operator|(F&& f) const { return FixPoint<F>(forward<F>(f)); } };
#define MFP MakeFixPoint()|
#define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__)
template <class T, size_t d> struct vec_impl {
    using type = vector<typename vec_impl<T,d-1>::type>;
    template <class... U> static type make_v(size_t n, U&&... x) { return type(n, vec_impl<T,d-1>::make_v(forward<U>(x)...)); }
};
template <class T> struct vec_impl<T,0> { using type = T; static type make_v(T const& x = {}) { return x; } };
template <class T, size_t d = 1> using vec = typename vec_impl<T,d>::type;
template <class T, size_t d = 1, class... Args> auto make_v(Args&&... args) { return vec_impl<T,d>::make_v(forward<Args>(args)...); }
template <class T> void quit(T const& x) { cout << x << endl; exit(0); }
template <class T, class U> constexpr bool chmin(T& x, U const& y) { if (x > y) { x = y; return true; } return false; }
template <class T, class U> constexpr bool chmax(T& x, U const& y) { if (x < y) { x = y; return true; } return false; }
template <class It> constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits<It>::value_type{}); }
template <class T> int sz(T const& x) { return x.size(); }
template <class C, class T> int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); }
template <class C, class T> int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); }
const int dx[] = { 1,0,-1,0 };
const int dy[] = { 0,1,0,-1 };
constexpr int popcnt(ll x) { return __builtin_popcountll(x); }
// [a,b]
template <class Int> Int rand(Int a, Int b) { static mt19937_64 mt{random_device{}()}; return uniform_int_distribution<Int>(a,b)(mt); }
i64 irand(i64 a, i64 b) { return rand<i64>(a,b); }
u64 urand(u64 a, u64 b) { return rand<u64>(a,b); }
// <<<

int32_t main() {
    int n; cin >> n;
    vector<int> a(n); cin >> a;

    vector<int> pow3(n+1);
    pow3[0] = 1;
    rep (i,n) pow3[i+1] = pow3[i]*3;
    auto kth = [&](int s, int k) {
        return s/pow3[k]%3;
    };

    vector<ld> r(n);
    rep (i,n) r[i] = ld(1)/a[i];

    vector<int> calc(pow3[n]);
    vector<pair<ld,ld>> dp(pow3[n]);
    def (solve, int s) -> pair<ld,ld> {
        assert(s < pow3[n]);
        if (calc[s]) return dp[s];
        calc[s] = true;
        auto &[p,q] = dp[s];

        vector<int> rest;
        rep (i,n) if (kth(s,i) == 0) rest.eb(i);

        if (rest.empty()) {
            int sum[3] = {};
            rep (i,n) sum[kth(s,i)] += a[i];
            if (sum[1] > sum[2]) p = q = 1; else p = q = 0;
            return {p,q};
        }

        p = 0;
        rep (i,n) if (kth(s,i) == 0) {
            ld mi = 1;
            rep (j,n) if (kth(s,j) == 0) {
                auto val = r[i] * solve(s+pow3[i]*1).snd
                    + (1-r[i]) * r[j] * solve(s+pow3[j]*2).fst;
                chmin(mi, val/(1-(1-r[i])*(1-r[j])));
            }
            chmax(p, mi);
        }

        q = 1;
        rep (i,n) if (kth(s,i) == 0) {
            ld ma = 0;
            rep (j,n) if (kth(s,j) == 0) {
                auto val = r[i] * solve(s+pow3[i]*2).fst
                    + (1-r[i]) * r[j] * solve(s+pow3[j]*1).snd;
                chmax(ma, val/(1-(1-r[i])*(1-r[j])));
            }
            chmin(q, ma);
        }

        return {p,q};
    };

    auto [p,q] = solve(0);
    cout << p << endl;

//    dump(as_mat(dp));
}

yukicoder

結果

テストケース

ソースコード