結果

問題 No.1117 数列分割
ユーザー Shuz*Shuz*
提出日時 2020-07-17 23:19:26
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
MLE  
実行時間 -
コード長 7,521 bytes
コンパイル時間 2,208 ms
コンパイル使用メモリ 187,552 KB
実行使用メモリ 572,076 KB
最終ジャッジ日時 2023-08-20 04:15:22
合計ジャッジ時間 22,719 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
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 MLE -
testcase_01 MLE -
testcase_02 MLE -
testcase_03 MLE -
testcase_04 MLE -
testcase_05 MLE -
testcase_06 MLE -
testcase_07 MLE -
testcase_08 MLE -
testcase_09 MLE -
testcase_10 MLE -
testcase_11 MLE -
testcase_12 MLE -
testcase_13 TLE -
testcase_14 TLE -
testcase_15 MLE -
testcase_16 -- -
testcase_17 -- -
testcase_18 -- -
testcase_19 -- -
testcase_20 -- -
testcase_21 -- -
testcase_22 -- -
testcase_23 -- -
testcase_24 -- -
testcase_25 -- -
testcase_26 -- -
testcase_27 -- -
testcase_28 -- -
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;

// Define
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template <class T> using pvector = vector<pair<T, T>>;
template <class T>
using rpriority_queue = priority_queue<T, vector<T>, greater<T>>;
constexpr const ll dx[4] = {1, 0, -1, 0};
constexpr const ll dy[4] = {0, 1, 0, -1};
constexpr const ll MOD = 1e9 + 7;
constexpr const ll mod = 998244353;
constexpr const ll INF = 1LL << 60;
constexpr const ll inf = 1 << 30;
constexpr const char rt = '\n';
constexpr const char sp = ' ';
#define rt(i, n) (i == (ll)(n) -1 ? rt : sp)
#define len(x) ((ll)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define eb emplace_back
#define ifn(x) if (not(x))
#define elif else if
#define elifn else ifn
#define fi first
#define se second

template <class T> bool chmax(T &a, const T &b) {
    if (a < b) {
        a = b;
        return 1;
    }
    return 0;
}
template <class T> bool chmin(T &a, const T &b) {
    if (a > b) {
        a = b;
        return 1;
    }
    return 0;
}

// Debug
#define debug(...)                                                             \
    {                                                                          \
        cerr << __LINE__ << ": " << #__VA_ARGS__ << " = ";                     \
        for (auto &&X : {__VA_ARGS__}) cerr << "[" << X << "] ";               \
        cerr << rt;                                                            \
    }

#define dump(a, h, w)                                                          \
    {                                                                          \
        cerr << __LINE__ << ": " << #a << " = [" << rt;                        \
        rep(_i, h) {                                                           \
            rep(_j, w) {                                                       \
                if (abs(a[_i][_j]) >= INF / 2 and a[_i][_j] <= -INF / 2)       \
                    cerr << '-';                                               \
                if (abs(a[_i][_j]) >= INF / 2)                                 \
                    cerr << "∞" << sp;                                         \
                else                                                           \
                    cerr << a[_i][_j] << sp;                                   \
            }                                                                  \
            cerr << rt;                                                        \
        }                                                                      \
        cerr << "]" << rt;                                                     \
    }

#define vdump(a, n)                                                            \
    {                                                                          \
        cerr << __LINE__ << ": " << #a << " = [";                              \
        rep(_i, n) {                                                           \
            if (_i) cerr << sp;                                                \
            if (abs(a[_i]) >= INF / 2 and a[_i] <= -INF / 2) cerr << '-';      \
            if (abs(a[_i]) >= INF / 2)                                         \
                cerr << "∞" << sp;                                             \
            else                                                               \
                cerr << a[_i];                                                 \
        }                                                                      \
        cerr << "]" << rt;                                                     \
    }

// Loop
#define inc(i, a, n) for (ll i = (a), _##i = (n); i <= _##i; ++i)
#define dec(i, a, n) for (ll i = (a), _##i = (n); i >= _##i; --i)
#define rep(i, n) for (ll i = 0, _##i = (n); i < _##i; ++i)
#define each(i, a) for (auto &&i : a)

// Stream
#define fout(n) cout << fixed << setprecision(n)
struct io {
    io() { cin.tie(nullptr), ios::sync_with_stdio(false); }
} io;

// Speed
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

// Math
inline constexpr ll gcd(const ll a, const ll b) {
    return b ? gcd(b, a % b) : a;
}
inline constexpr ll lcm(const ll a, const ll b) { return a / gcd(a, b) * b; }

inline constexpr ll modulo(const ll n, const ll m = MOD) {
    ll k = n % m;
    return k + m * (k < 0);
}
inline constexpr ll chmod(ll &n, const ll m = MOD) {
    n %= m;
    return n += m * (n < 0);
}
inline constexpr ll mpow(ll a, ll n, const ll m = MOD) {
    ll r = 1;
    rep(i, 64) {
        if (n & (1LL << i)) r *= a;
        chmod(r, m);
        a *= a;
        chmod(a, m);
    }
    return r;
}
inline ll inv(const ll n, const ll m = MOD) {
    ll a = n, b = m, x = 1, y = 0;
    while (b) {
        ll t = a / b;
        a -= t * b;
        swap(a, b);
        x -= t * y;
        swap(x, y);
    }
    return modulo(x, m);
}

struct UshiTree {
    using Type = ll;
    Type unit = -INF;
    function<Type(Type, Type)> comb = [](Type left, Type right) {
        return max(left, right);
    };

    static const ll n = 1 << 12;
    vector<Type> node;

    UshiTree() : node(2 * n - 1, unit) {}
    inline void update(ll a, Type x) {
        ll i = n - 1 + a;
        node[i] = x;
        while (i != 0) {
            i = (i - 1) / 2;
            node[i] = comb(node[i * 2 + 1], node[i * 2 + 2]);
        }
    }
    inline Type result(ll a, ll b, ll i = 0, ll l = 0, ll r = n) {
        Type res = unit;
        if (b <= l or r <= a) return res;
        if (a <= l and r <= b) {
            return comb(node[i], res);
        } else {
            return comb(result(a, b, i * 2 + 1, l, (l + r) / 2),
                        result(a, b, i * 2 + 2, (l + r) / 2, r));
        }
    }
};

struct slidemax {
    ll N;
    vector<ll> data;
    ll l, r;
    deque<ll> deq;
    slidemax(ll n = 3001, ll start = 0) : N(n), data(n), l(start), r(start) {}
    void setdata(ll itr, ll val) { data[itr] = val; }
    void pop_front() {
        while (deq.size() && deq.front() <= l) {
            deq.pop_front();
        }
        l++;
    }
    void push_back() {
        while (deq.size() && data[deq.back()] < data[r]) {
            deq.pop_back();
        }
        deq.push_back(r);
        r++;
    }
    ll min() { return data[deq.front()]; }
};

UshiTree seg[3001];
slidemax slm[3001];

signed main() {
    ll N, M, K;
    cin >> N >> K >> M;
    ll A[N + 1] = {};
    pvector<ll> V;
    rep(i, N) cin >> A[i + 1];
    rep(i, N) A[i + 1] += A[i];
    rep(i, N + 1) V.pb({A[i], i});
    sort(all(V));

    ll id[N + 1];
    rep(i, N + 1) id[V[i].se] = i;

    ll DP[N + 1][K + 1];
    rep(i, N + 1) rep(j, K + 1) DP[i][j] = -INF;
    DP[0][0] = 0;

    seg[0].update(id[0], -A[0]);
    slm[0].setdata(0, A[0]);
    slm[0].pb();

    rep(i, N) {
        rep(j, K) {
            if (i - M >= 0) {
                seg[j].update(id[i - M], -INF);
                slm[j].pop_front();
            }
            DP[i + 1][j + 1] = max(seg[j].result(0, id[i + 1] + 1) + A[i + 1],
                                   slm[j].min() - A[i + 1]);
            seg[j + 1].update(id[i + 1], DP[i + 1][j + 1] - A[i + 1]);
            slm[j + 1].setdata(i + 1, DP[i + 1][j + 1] + A[i + 1]);
            slm[j + 1].pb();
        }
    }

    cout << DP[N][K] << rt;
}
0