結果

問題 No.972 選び方のスコア
ユーザー kcvlexkcvlex
提出日時 2020-01-17 22:01:11
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 94 ms / 2,000 ms
コード長 3,765 bytes
コンパイル時間 1,731 ms
コンパイル使用メモリ 171,712 KB
実行使用メモリ 6,840 KB
最終ジャッジ日時 2023-09-08 02:55:34
合計ジャッジ時間 5,550 ms
ジャッジサーバーID
(参考情報)
judge14 / judge12
このコードへのチャレンジ(β)

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 93 ms
6,756 KB
testcase_01 AC 94 ms
6,820 KB
testcase_02 AC 90 ms
6,488 KB
testcase_03 AC 43 ms
4,792 KB
testcase_04 AC 89 ms
6,660 KB
testcase_05 AC 88 ms
6,732 KB
testcase_06 AC 90 ms
6,644 KB
testcase_07 AC 66 ms
6,144 KB
testcase_08 AC 77 ms
6,840 KB
testcase_09 AC 75 ms
6,768 KB
testcase_10 AC 73 ms
6,708 KB
testcase_11 AC 74 ms
6,640 KB
testcase_12 AC 77 ms
6,704 KB
testcase_13 AC 76 ms
6,768 KB
testcase_14 AC 76 ms
6,816 KB
testcase_15 AC 76 ms
6,636 KB
testcase_16 AC 78 ms
6,656 KB
testcase_17 AC 79 ms
6,756 KB
testcase_18 AC 1 ms
4,380 KB
testcase_19 AC 87 ms
6,644 KB
testcase_20 AC 88 ms
6,760 KB
testcase_21 AC 89 ms
6,656 KB
testcase_22 AC 85 ms
6,756 KB
testcase_23 AC 87 ms
6,684 KB
testcase_24 AC 88 ms
6,644 KB
testcase_25 AC 2 ms
4,380 KB
testcase_26 AC 2 ms
4,380 KB
testcase_27 AC 1 ms
4,380 KB
testcase_28 AC 1 ms
4,376 KB
testcase_29 AC 1 ms
4,376 KB
testcase_30 AC 2 ms
4,376 KB
testcase_31 AC 2 ms
4,376 KB
testcase_32 AC 2 ms
4,380 KB
testcase_33 AC 2 ms
4,380 KB
testcase_34 AC 2 ms
4,380 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 #

// #define DEBUGGING
#include <bits/stdc++.h>
#define endl '\n'
#define ALL(V) (V).begin(), (V).end()
#define ALLR(V) (V).rbegin(), (V).rend()
using ll = std::int64_t;
using ull = std::uint64_t;
using PLL = std::pair<ll, ll>;
using TLL = std::tuple<ll, ll, ll>;
template <typename T> using V = std::vector<T>;
template <typename T> using VV = V<V<T>>;
template <typename T> const T& var_min(const T &t) { return t; }
template <typename T> const T& var_max(const T &t) { return t; }
template <typename T, typename... Tail> const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); }
template <typename T, typename... Tail> const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); }
template <typename T, typename... Tail> void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); }
template <typename T, typename... Tail> void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); }
template <typename T> const T& clamp(const T &t, const T &low, const T &high) { return std::max(low, std::min(high, t)); }
template <typename T> void chclamp(T &t, const T &low, const T &high) { return t = clamp(t, low, high); }
namespace init__ { struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; }
#define mv_rec make_v(init, tail...)
template <typename T> T make_v(T init) { return init; }
template <typename T, typename... Tail> auto make_v(T init, size_t s, Tail... tail) { return V<decltype(mv_rec)>(s, mv_rec); }
#undef mv_rec
using namespace std;

#ifdef DEBUGGING
#include "../../debug/debug.cpp"
#else
#define DEBUG(...) 0
#define DEBUG_SEPARATOR_LINE 0
#endif

const ll inf = 5e15;

// 0-indexed
// [l, r)
template <typename T>
struct Bit {
    V<T> data;
    T id_ele;

    Bit(ll size, T id_ele) : id_ele(id_ele) {
        ll bsize = 1;
        while(bsize < size) bsize *= 2;
        data = V<T>(bsize + 1, id_ele);
    }

    T sum(ll pos) {
        T ret = id_ele;
        for(; 0 < pos; pos -= pos & -pos) ret += data[pos];
        return ret;
    }

    T sum(ll l, ll r) { 
        if (r <= l) return 0;
        return sum(r) - sum(l); 
    }

    void add(ll pos, T delta) {
        for(++pos; pos < data.size(); pos += pos & -pos) data[pos] += delta;
    }
};

int main() {
    ll N;
    cin >> N;
    V<ll> A(N);
    for (ll &e : A) cin >> e;
    sort(ALL(A));

    Bit<ll> bit(N + 10, 0);
    for (ll i = 0; i < N; i++) bit.add(i, A[i]);

    ll ans = -inf;
    for (ll i = 0; i < N; i++) {
        ll m = A[i];
        ll lrest = i;
        ll rrest = (N - 1) - i;
        ll ok = 0, ng = min(lrest, rrest) + 1;
        while (abs(ok - ng) > 1) {
            ll mid = (ok + ng) / 2;
            ll l = A[i - mid];
            ll r = A[N - mid];
            ll inc = r - m, dec = m - l;
            (dec <= inc ? ok : ng) = mid;
        }
        ll tmp = m;
        tmp += bit.sum(i - ok, i);
        tmp += bit.sum(N - ok, N);
        tmp -= m * (2 * ok + 1);
        DEBUG(make_tuple(i, tmp, ok));
        chmax(ans, tmp);
    }

    for (ll i = 0; i < N - 1; i++) {
        ll m1 = A[i], m2 = A[i + 1];
        ll lrest = i, rrest = (N - 1) - (i + 1);
        ll ok = 0, ng = min(lrest, rrest) + 1;
        while (abs(ok - ng) > 1) {
            ll mid = (ok + ng) / 2;
            ll l = A[i - mid];
            ll r = A[N - mid];
            ll inc = 2 * r - (m1 + m2), dec = (m1 + m2) - 2 * l;
            (dec <= inc ? ok : ng) = mid;
        }
        ll tmp = m1 + m2;
        tmp += bit.sum(i - ok, i);
        tmp += bit.sum(N - ok, ok);
        tmp -= (m1 + m2) * (ok + 1);
        DEBUG(tmp);
        chmax(ans, tmp);
    }

    cout << ans << endl;
    return 0;
}
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