結果

問題 No.2330 Eat Slime
ユーザー 👑 rin204rin204
提出日時 2023-06-11 18:51:26
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 396 ms / 4,000 ms
コード長 13,340 bytes
コンパイル時間 3,050 ms
コンパイル使用メモリ 262,856 KB
実行使用メモリ 27,132 KB
最終ジャッジ日時 2024-06-11 01:06:27
合計ジャッジ時間 13,823 ms
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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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 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 2 ms
5,376 KB
testcase_06 AC 1 ms
5,376 KB
testcase_07 AC 379 ms
24,100 KB
testcase_08 AC 172 ms
17,616 KB
testcase_09 AC 357 ms
21,888 KB
testcase_10 AC 50 ms
6,428 KB
testcase_11 AC 37 ms
5,376 KB
testcase_12 AC 359 ms
22,728 KB
testcase_13 AC 355 ms
23,924 KB
testcase_14 AC 71 ms
5,888 KB
testcase_15 AC 198 ms
17,232 KB
testcase_16 AC 348 ms
22,056 KB
testcase_17 AC 380 ms
27,004 KB
testcase_18 AC 389 ms
27,076 KB
testcase_19 AC 393 ms
27,076 KB
testcase_20 AC 391 ms
26,944 KB
testcase_21 AC 389 ms
27,004 KB
testcase_22 AC 391 ms
27,128 KB
testcase_23 AC 390 ms
27,004 KB
testcase_24 AC 394 ms
27,072 KB
testcase_25 AC 396 ms
27,072 KB
testcase_26 AC 390 ms
27,076 KB
testcase_27 AC 383 ms
27,068 KB
testcase_28 AC 386 ms
27,132 KB
testcase_29 AC 384 ms
26,976 KB
testcase_30 AC 396 ms
27,040 KB
testcase_31 AC 386 ms
27,132 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 #

// start A.cpp
// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;

using ll  = long long;
using ull = unsigned long long;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));

#ifndef RIN__LOCAL
#define endl "\n"
#endif
#define spa ' '
#define len(A) A.size()
#define all(A) begin(A), end(A)

#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)

vector<char> stoc(string &S) {
    int n = S.size();
    vector<char> ret(n);
    for (int i = 0; i < n; i++) ret[i] = S[i];
    return ret;
}

#define INT(...)                                                                                                                                                                                       \
    int __VA_ARGS__;                                                                                                                                                                                   \
    inp(__VA_ARGS__);
#define LL(...)                                                                                                                                                                                        \
    ll __VA_ARGS__;                                                                                                                                                                                    \
    inp(__VA_ARGS__);
#define STRING(...)                                                                                                                                                                                    \
    string __VA_ARGS__;                                                                                                                                                                                \
    inp(__VA_ARGS__);
#define CHAR(...)                                                                                                                                                                                      \
    char __VA_ARGS__;                                                                                                                                                                                  \
    inp(__VA_ARGS__);
#define VEC(T, A, n)                                                                                                                                                                                   \
    vector<T> A(n);                                                                                                                                                                                    \
    inp(A);
#define VVEC(T, A, n, m)                                                                                                                                                                               \
    vector<vector<T>> A(n, vector<T>(m));                                                                                                                                                              \
    inp(A);

const ll MOD1 = 1000000007;
const ll MOD9 = 998244353;

template <class T>
auto min(const T &a) {
    return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
    return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
    return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
    auto b = clamp(a, l, r);
    return (a != b ? a = b, 1 : 0);
}

void FLUSH() {
    cout << flush;
}
void print() {
    cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
    cout << head;
    if (sizeof...(Tail)) cout << spa;
    print(forward<Tail>(tail)...);
}
template <typename T>
void print(vector<T> &A) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << ' ';
    }
    cout << endl;
}
template <typename T>
void print(vector<vector<T>> &A) {
    for (auto &row : A) print(row);
}
template <typename T, typename S>
void print(pair<T, S> &A) {
    cout << A.first << spa << A.second << endl;
}
template <typename T, typename S>
void print(vector<pair<T, S>> &A) {
    for (auto &row : A) print(row);
}
template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << sep;
    }
    cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
    cout << A << end;
}
template <typename T>
void priend(T A) {
    priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
    if (f)
        print(A);
    else
        print(B);
    return f;
}

template <class... T>
void inp(T &... a) {
    (cin >> ... >> a);
}
template <typename T>
void inp(vector<T> &A) {
    for (auto &a : A) cin >> a;
}
template <typename T>
void inp(vector<vector<T>> &A) {
    for (auto &row : A) inp(row);
}
template <typename T, typename S>
void inp(pair<T, S> &A) {
    inp(A.first, A.second);
}
template <typename T, typename S>
void inp(vector<pair<T, S>> &A) {
    for (auto &row : A) inp(row.first, row.second);
}

template <typename T>
T sum(vector<T> &A) {
    T tot = 0;
    for (auto a : A) tot += a;
    return tot;
}

template <typename T>
vector<T> compression(vector<T> X) {
    sort(all(X));
    X.erase(unique(all(X)), X.end());
    return X;
}

vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<int>> edges(n, vector<int>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        u -= indexed;
        v -= indexed;
        edges[u].push_back(v);
        if (!direct) edges[v].push_back(u);
    }
    return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
    return read_edges(n, n - 1, false, indexed);
}
template <typename T>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        T w;
        inp(w);
        u -= indexed;
        v -= indexed;
        edges[u].push_back({v, w});
        if (!direct) edges[v].push_back({u, w});
    }
    return edges;
}
template <typename T>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
    return read_wedges<T>(n, n - 1, false, indexed);
}

inline bool yes(bool f = true) {
    cout << (f ? "yes" : "no") << endl;
    return f;
}
inline bool Yes(bool f = true) {
    cout << (f ? "Yes" : "No") << endl;
    return f;
}
inline bool YES(bool f = true) {
    cout << (f ? "YES" : "NO") << endl;
    return f;
}

inline bool no(bool f = true) {
    cout << (!f ? "yes" : "no") << endl;
    return f;
}
inline bool No(bool f = true) {
    cout << (!f ? "Yes" : "No") << endl;
    return f;
}
inline bool NO(bool f = true) {
    cout << (!f ? "YES" : "NO") << endl;
    return f;
}

// start convolution/convolution.hpp
// start math/modpow.hpp

template <typename T>
T modpow(T a, long long b, T MOD) {
    T ret = 1;
    while (b > 0) {
        if (b & 1) {
            ret *= a;
            ret %= MOD;
        }
        a *= a;
        a %= MOD;
        b >>= 1;
    }
    return ret;
}

// end math/modpow.hpp
// restart convolution/convolution.hpp

namespace FFT {
    using ll = long long;

    const ll MOD = 998244353;
    const int g  = 3;

    template <typename T>
    void butterfly(vector<T> &a) {
        int n = a.size();
        int h = 0;
        while ((1 << h) < n) h++;
        static bool first = true;
        static T sum_e[30];
        if (first) {
            first = false;
            T es[30], ies[30];
            int cnt2 = __builtin_ctz(MOD - 1);
            T e      = modpow<T>(g, (MOD - 1) >> cnt2, MOD);
            T ie     = modpow<T>(e, MOD - 2, MOD);

            for (int i = cnt2; i >= 2; i--) {
                es[i - 2]  = e;
                ies[i - 2] = ie;
                e *= e;
                e %= MOD;
                ie *= ie;
                ie %= MOD;
            }

            T now = 1;
            for (int i = 0; i < cnt2 - 2; i++) {
                sum_e[i] = es[i] * now % MOD;
                now *= ies[i];
                now %= MOD;
            }
        }

        for (int ph = 1; ph <= h; ph++) {
            int w = 1 << (ph - 1);
            int p = 1 << (h - ph);
            T now = 1;
            for (int s = 0; s < w; s++) {
                int offset = s << (h - ph + 1);
                for (int i = 0; i < p; i++) {
                    auto l            = a[i + offset];
                    auto r            = a[i + offset + p] * now % MOD;
                    a[i + offset]     = (l + r) % MOD;
                    a[i + offset + p] = (l - r) % MOD;
                }
                now *= sum_e[__builtin_ctz(~(unsigned int)(s))];
                now %= MOD;
            }
        }
    }

    template <typename T>
    void butterfly_inv(vector<T> &a) {
        int n = a.size();
        int h = 1;
        while ((1 << h) < n) h++;
        static bool first = true;
        static T sum_ie[30];
        if (first) {
            first = false;
            T es[30], ies[30];
            int cnt2 = __builtin_ctz(MOD - 1);
            T e      = modpow<T>(g, (MOD - 1) >> cnt2, MOD);
            T ie     = modpow<T>(e, MOD - 2, MOD);

            for (int i = cnt2; i >= 2; i--) {
                es[i - 2]  = e;
                ies[i - 2] = ie;
                e *= e;
                e %= MOD;
                ie *= ie;
                ie %= MOD;
            }

            T now = 1;
            for (int i = 0; i < cnt2 - 2; i++) {
                sum_ie[i] = ies[i] * now % MOD;
                now *= es[i];
                now %= MOD;
            }
        }

        for (int ph = h; ph > 0; ph--) {
            int w  = 1 << (ph - 1);
            int p  = 1 << (h - ph);
            T inow = 1;
            for (int s = 0; s < w; s++) {
                int offset = s << (h - ph + 1);
                for (int i = 0; i < p; i++) {
                    auto l            = a[i + offset];
                    auto r            = a[i + offset + p];
                    a[i + offset]     = (l + r) % MOD;
                    a[i + offset + p] = (l - r) * inow % MOD;
                }
                inow *= sum_ie[__builtin_ctz(~(unsigned int)(s))];
                inow %= MOD;
            }
        }
    }

    template <typename T>
    vector<T> convolution(vector<T> a, vector<T> b) {
        int n = a.size();
        int m = b.size();
        if (min(n, m) <= 60) {
            if (n < m) {
                swap(n, m);
                swap(a, b);
            }
            vector<T> ans(n + m - 1);
            for (int i = 0; i < n; i++) {
                for (int j = 0; j < m; j++) {
                    ans[i + j] += a[i] * b[j];
                    ans[i + j] %= MOD;
                }
            }
            for (int i = 0; i < n + m - 1; i++) {
                if (ans[i] < 0) ans[i] += MOD;
            }
            return ans;
        }

        int z = 1;
        while (z < n + m - 1) z *= 2;
        a.resize(z);
        butterfly(a);
        b.resize(z);
        butterfly(b);
        for (int i = 0; i < z; i++) {
            a[i] *= b[i];
            a[i] %= MOD;
        }
        butterfly_inv(a);
        a.resize(n + m - 1);
        T iz = modpow<T>(z, MOD - 2, MOD);
        for (int i = 0; i < n + m - 1; i++) {
            a[i] *= iz;
            a[i] = (a[i] % MOD + MOD) % MOD;
        }
        return a;
    }
}; // namespace FFT

// end convolution/convolution.hpp
// restart A.cpp

void solve() {
    LL(n, m, X);
    VEC(ll, C, n);
    fori(i, n) C[i]--;
    vvec(ll, score, 5, n, 0);
    fori(m) {
        LL(a, b, y);
        score[b - 1][a - 1] += y;
    }
    vector<ll> ans(n + 1);
    fori(i, n + 1) ans[i] = i * X;
    fori(i, 5) {
        vec(ll, Y, n, 0);
        fori(j, n) {
            if (C[j] == i) Y[j] = 1;
        }
        reverse(all(Y));
        auto res = FFT::convolution(Y, score[i]);
        fori(i, n - 1, -1, -1) {
            ans[n - 1 - i] += res[i];
        }
    }
    print(max(ans));
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    // cout << fixed << setprecision(12);
    int t;
    t = 1;
    // cin >> t;
    while (t--) solve();
    return 0;
}

// end A.cpp
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