結果

問題 No.2983 Christmas Color Grid (Advent Calender ver.)
ユーザー 👑 rin204rin204
提出日時 2024-12-08 00:26:23
言語 C++23
(gcc 12.3.0 + boost 1.83.0)
結果
MLE  
実行時間 -
コード長 24,652 bytes
コンパイル時間 4,344 ms
コンパイル使用メモリ 273,052 KB
実行使用メモリ 134,272 KB
最終ジャッジ日時 2024-12-08 00:26:39
合計ジャッジ時間 14,874 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
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
5,248 KB
testcase_02 MLE -
testcase_03 RE -
testcase_04 RE -
testcase_05 RE -
testcase_06 RE -
testcase_07 AC 2 ms
5,248 KB
testcase_08 RE -
testcase_09 RE -
testcase_10 RE -
testcase_11 RE -
testcase_12 RE -
testcase_13 RE -
testcase_14 RE -
testcase_15 RE -
testcase_16 RE -
testcase_17 RE -
testcase_18 MLE -
testcase_19 RE -
testcase_20 RE -
testcase_21 RE -
testcase_22 RE -
testcase_23 RE -
testcase_24 AC 5 ms
7,296 KB
testcase_25 RE -
testcase_26 AC 6 ms
7,168 KB
testcase_27 MLE -
testcase_28 RE -
testcase_29 RE -
testcase_30 RE -
testcase_31 RE -
testcase_32 RE -
testcase_33 RE -
testcase_34 RE -
testcase_35 RE -
testcase_36 RE -
testcase_37 RE -
testcase_38 RE -
testcase_39 MLE -
testcase_40 AC 2 ms
5,248 KB
testcase_41 AC 2 ms
5,248 KB
testcase_42 AC 2 ms
5,248 KB
testcase_43 AC 2 ms
5,248 KB
testcase_44 AC 2 ms
5,248 KB
testcase_45 RE -
testcase_46 RE -
testcase_47 RE -
testcase_48 RE -
testcase_49 RE -
testcase_50 AC 2 ms
5,248 KB
testcase_51 AC 2 ms
5,248 KB
testcase_52 AC 1 ms
5,248 KB
testcase_53 AC 2 ms
5,248 KB
testcase_54 AC 2 ms
5,248 KB
testcase_55 AC 2 ms
5,248 KB
testcase_56 AC 2 ms
5,248 KB
testcase_57 AC 2 ms
5,248 KB
testcase_58 AC 2 ms
5,248 KB
testcase_59 AC 1 ms
5,248 KB
testcase_60 AC 2 ms
5,248 KB
testcase_61 AC 2 ms
5,248 KB
testcase_62 RE -
testcase_63 RE -
testcase_64 RE -
testcase_65 RE -
testcase_66 RE -
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 # 

// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
// #define INTERACTIVE

#include <bits/stdc++.h>
using namespace std;

namespace templates {
// type
using ll  = long long;
using ull = unsigned long long;
using Pii = pair<int, int>;
using Pil = pair<int, ll>;
using Pli = pair<ll, int>;
using Pll = pair<ll, ll>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
// clang-format off
#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__)));
// clang-format on

// for loop
#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__)

// declare and input
// clang-format off
#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 DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#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);
// clang-format on

// const value
const ll MOD1   = 1000000007;
const ll MOD9   = 998244353;
const double PI = acos(-1);

// other macro
#if !defined(RIN__LOCAL) && !defined(INTERACTIVE)
#define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)

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

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);
}

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;
}

// input and output
namespace io {
// __int128_t
std::ostream &operator<<(std::ostream &dest, __int128_t value) {
    std::ostream::sentry s(dest);
    if (s) {
        __uint128_t tmp = value < 0 ? -value : value;
        char buffer[128];
        char *d = std::end(buffer);
        do {
            --d;
            *d = "0123456789"[tmp % 10];
            tmp /= 10;
        } while (tmp != 0);
        if (value < 0) {
            --d;
            *d = '-';
        }
        int len = std::end(buffer) - d;
        if (dest.rdbuf()->sputn(d, len) != len) {
            dest.setstate(std::ios_base::badbit);
        }
    }
    return dest;
}

// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << ' ';
    }
    return os;
}

// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
    is >> A.first >> A.second;
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
    os << A.first << ' ' << A.second;
    return os;
}

// vector<pair<S, T>>
template <typename S, typename T>
istream &operator>>(istream &is, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        is >> A[i];
    }
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// tuple
template <typename T, size_t N>
struct TuplePrint {
    static ostream &print(ostream &os, const T &t) {
        TuplePrint<T, N - 1>::print(os, t);
        os << ' ' << get<N - 1>(t);
        return os;
    }
};
template <typename T>
struct TuplePrint<T, 1> {
    static ostream &print(ostream &os, const T &t) {
        os << get<0>(t);
        return os;
    }
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
    TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
    return os;
}

// io functions
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(std::forward<Tail>(tail)...);
}

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 prispa(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);
}

} // namespace io
using namespace io;

// read graph
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 = long long>
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 = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
    return read_wedges<T>(n, n - 1, false, indexed);
}

// yes / no
namespace yesno {

// yes
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;
}

// no
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;
}

// possible
inline bool possible(bool f = true) {
    cout << (f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Possible(bool f = true) {
    cout << (f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool POSSIBLE(bool f = true) {
    cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// impossible
inline bool impossible(bool f = true) {
    cout << (!f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Impossible(bool f = true) {
    cout << (!f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool IMPOSSIBLE(bool f = true) {
    cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// Alice Bob
inline bool Alice(bool f = true) {
    cout << (f ? "Alice" : "Bob") << endl;
    return f;
}
inline bool Bob(bool f = true) {
    cout << (f ? "Bob" : "Alice") << endl;
    return f;
}

// Takahashi Aoki
inline bool Takahashi(bool f = true) {
    cout << (f ? "Takahashi" : "Aoki") << endl;
    return f;
}
inline bool Aoki(bool f = true) {
    cout << (f ? "Aoki" : "Takahashi") << endl;
    return f;
}

} // namespace yesno
using namespace yesno;

} // namespace templates
using namespace templates;

template <int MOD>
struct Modint {
    int x;
    Modint() : x(0) {}
    Modint(int64_t y) {
        if (y >= 0)
            x = y % MOD;
        else
            x = (y % MOD + MOD) % MOD;
    }

    Modint &operator+=(const Modint &p) {
        x += p.x;
        if (x >= MOD) x -= MOD;
        return *this;
    }

    Modint &operator-=(const Modint &p) {
        x -= p.x;
        if (x < 0) x += MOD;
        return *this;
    }

    Modint &operator*=(const Modint &p) {
        x = int(1LL * x * p.x % MOD);
        return *this;
    }

    Modint &operator/=(const Modint &p) {
        *this *= p.inverse();
        return *this;
    }

    Modint &operator%=(const Modint &p) {
        assert(p.x == 0);
        return *this;
    }

    Modint operator-() const {
        return Modint(-x);
    }

    Modint &operator++() {
        x++;
        if (x == MOD) x = 0;
        return *this;
    }

    Modint &operator--() {
        if (x == 0) x = MOD;
        x--;
        return *this;
    }

    Modint operator++(int) {
        Modint result = *this;
        ++*this;
        return result;
    }

    Modint operator--(int) {
        Modint result = *this;
        --*this;
        return result;
    }

    friend Modint operator+(const Modint &lhs, const Modint &rhs) {
        return Modint(lhs) += rhs;
    }

    friend Modint operator-(const Modint &lhs, const Modint &rhs) {
        return Modint(lhs) -= rhs;
    }

    friend Modint operator*(const Modint &lhs, const Modint &rhs) {
        return Modint(lhs) *= rhs;
    }

    friend Modint operator/(const Modint &lhs, const Modint &rhs) {
        return Modint(lhs) /= rhs;
    }

    friend Modint operator%(const Modint &lhs, const Modint &rhs) {
        assert(rhs.x == 0);
        return Modint(lhs);
    }

    bool operator==(const Modint &p) const {
        return x == p.x;
    }

    bool operator!=(const Modint &p) const {
        return x != p.x;
    }

    bool operator<(const Modint &rhs) const {
        return x < rhs.x;
    }

    bool operator<=(const Modint &rhs) const {
        return x <= rhs.x;
    }

    bool operator>(const Modint &rhs) const {
        return x > rhs.x;
    }

    bool operator>=(const Modint &rhs) const {
        return x >= rhs.x;
    }

    Modint inverse() const {
        int a = x, b = MOD, u = 1, v = 0, t;
        while (b > 0) {
            t = a / b;
            a -= t * b;
            u -= t * v;
            std::swap(a, b);
            std::swap(u, v);
        }
        return Modint(u);
    }

    Modint pow(int64_t k) const {
        Modint ret(1);
        Modint y(x);
        while (k > 0) {
            if (k & 1) ret *= y;
            y *= y;
            k >>= 1;
        }
        return ret;
    }

    std::pair<int, int> to_frac(int max_n = 1000) const {
        int y = x;
        for (int i = 1; i <= max_n; i++) {
            if (y <= max_n) {
                return {y, i};
            } else if (MOD - y <= max_n) {
                return {-(MOD - y), i};
            }
            y = (y + x) % MOD;
        }
        return {-1, -1};
    }

    friend std::ostream &operator<<(std::ostream &os, const Modint &p) {
        return os << p.x;
    }

    friend std::istream &operator>>(std::istream &is, Modint &p) {
        int64_t y;
        is >> y;
        p = Modint<MOD>(y);
        return (is);
    }

    static int get_mod() {
        return MOD;
    }
};

struct Arbitrary_Modint {
    int x;
    static int MOD;

    static void set_mod(int mod) {
        MOD = mod;
    }

    Arbitrary_Modint() : x(0) {}
    Arbitrary_Modint(int64_t y) {
        if (y >= 0)
            x = y % MOD;
        else
            x = (y % MOD + MOD) % MOD;
    }

    Arbitrary_Modint &operator+=(const Arbitrary_Modint &p) {
        x += p.x;
        if (x >= MOD) x -= MOD;
        return *this;
    }

    Arbitrary_Modint &operator-=(const Arbitrary_Modint &p) {
        x -= p.x;
        if (x < 0) x += MOD;
        return *this;
    }

    Arbitrary_Modint &operator*=(const Arbitrary_Modint &p) {
        x = int(1LL * x * p.x % MOD);
        return *this;
    }

    Arbitrary_Modint &operator/=(const Arbitrary_Modint &p) {
        *this *= p.inverse();
        return *this;
    }

    Arbitrary_Modint &operator%=(const Arbitrary_Modint &p) {
        assert(p.x == 0);
        return *this;
    }

    Arbitrary_Modint operator-() const {
        return Arbitrary_Modint(-x);
    }

    Arbitrary_Modint &operator++() {
        x++;
        if (x == MOD) x = 0;
        return *this;
    }

    Arbitrary_Modint &operator--() {
        if (x == 0) x = MOD;
        x--;
        return *this;
    }

    Arbitrary_Modint operator++(int) {
        Arbitrary_Modint result = *this;
        ++*this;
        return result;
    }

    Arbitrary_Modint operator--(int) {
        Arbitrary_Modint result = *this;
        --*this;
        return result;
    }

    friend Arbitrary_Modint operator+(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {
        return Arbitrary_Modint(lhs) += rhs;
    }

    friend Arbitrary_Modint operator-(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {
        return Arbitrary_Modint(lhs) -= rhs;
    }

    friend Arbitrary_Modint operator*(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {
        return Arbitrary_Modint(lhs) *= rhs;
    }

    friend Arbitrary_Modint operator/(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {
        return Arbitrary_Modint(lhs) /= rhs;
    }

    friend Arbitrary_Modint operator%(const Arbitrary_Modint &lhs, const Arbitrary_Modint &rhs) {
        assert(rhs.x == 0);
        return Arbitrary_Modint(lhs);
    }

    bool operator==(const Arbitrary_Modint &p) const {
        return x == p.x;
    }

    bool operator!=(const Arbitrary_Modint &p) const {
        return x != p.x;
    }

    bool operator<(const Arbitrary_Modint &rhs) {
        return x < rhs.x;
    }

    bool operator<=(const Arbitrary_Modint &rhs) {
        return x <= rhs.x;
    }

    bool operator>(const Arbitrary_Modint &rhs) {
        return x > rhs.x;
    }

    bool operator>=(const Arbitrary_Modint &rhs) {
        return x >= rhs.x;
    }

    Arbitrary_Modint inverse() const {
        int a = x, b = MOD, u = 1, v = 0, t;
        while (b > 0) {
            t = a / b;
            a -= t * b;
            u -= t * v;
            std::swap(a, b);
            std::swap(u, v);
        }
        return Arbitrary_Modint(u);
    }

    Arbitrary_Modint pow(int64_t k) const {
        Arbitrary_Modint ret(1);
        Arbitrary_Modint y(x);
        while (k > 0) {
            if (k & 1) ret *= y;
            y *= y;
            k >>= 1;
        }
        return ret;
    }

    friend std::ostream &operator<<(std::ostream &os, const Arbitrary_Modint &p) {
        return os << p.x;
    }

    friend std::istream &operator>>(std::istream &is, Arbitrary_Modint &p) {
        int64_t y;
        is >> y;
        p = Arbitrary_Modint(y);
        return (is);
    }

    static int get_mod() {
        return MOD;
    }
};
int Arbitrary_Modint::MOD = 998244353;

using modint9 = Modint<998244353>;
using modint1 = Modint<1000000007>;
using modint  = Arbitrary_Modint;
using mint    = modint;

void solve() {
    LL(h, w, K, M);
    mint::set_mod(M);

    vector<int> di = {0, 1, 0, -1};
    vector<int> dj = {1, 0, -1, 0};
    vec(mint, dp, 1 << (h * w));

    vec(mint, powK, h * w + 1);
    fori(i, h * w + 1) {
        powK[i] = mint(i).pow(K);
    }

    map<pair<int, int>, vector<int>> cnt;
    cnt[{1, 1}] = {
        0,
        1,
    };
    cnt[{1, 2}] = {
        0,
        2,
        1,
    };
    cnt[{1, 3}] = {
        0,
        5,
        2,
        1,
    };
    cnt[{1, 4}] = {
        0, 12, 5, 2, 1,
    };
    cnt[{1, 5}] = {
        0, 28, 12, 5, 2, 1,
    };
    cnt[{2, 2}] = {
        0, 8, 4, 4, 1,
    };
    cnt[{2, 3}] = {
        0, 40, 17, 14, 10, 6, 1,
    };
    cnt[{2, 4}] = {
        0, 192, 80, 64, 39, 28, 20, 8, 1,
    };
    cnt[{2, 5}] = {
        0, 896, 368, 296, 184, 120, 81, 58, 34, 10, 1,
    };
    cnt[{3, 3}] = {
        0, 400, 144, 106, 84, 69, 52, 32, 9, 1,
    };
    cnt[{3, 4}] = {
        0, 3840, 1360, 952, 705, 550, 445, 360, 270, 164, 62, 12, 1,
    };
    cnt[{3, 5}] = {
        0, 35840, 12544, 8720, 6408, 4897, 3772, 2972, 2371, 1873, 1385, 854, 376, 101, 15, 1,
    };
    cnt[{4, 4}] = {
        0,    73728, 25600, 17152, 11728, 9040, 7504, 6288, 5340,
        4436, 3432,  2360,  1296,  492,   116,  16,   1,
    };
    cnt[{4, 5}] = {
        0,     1376256, 471040, 314368, 213248, 158976, 128272, 105936, 89480, 75998, 64363,
        53486, 42473,   31078,  19942,  10358,  3972,   1054,   186,    20,    1,
    };
    cnt[{5, 5}] = {
        0,       51380224, 17301504, 11501568, 7749632, 5599232, 4361216, 3564416, 3023760,
        2603088, 2265120,  1971974,  1703398,  1448460, 1194986, 939036,  687581,  454452,
        258314,  119182,   42437,    11295,    2192,    296,     25,      1,
    };

    if (false) {
        fori(h, 1, 6) fori(w, h, 6) {
            vec(ll, cnt, h * w + 1);

            vvec(int, A, h, w);
            stack<Pii> st;
            fori(bit, 1 << (h * w)) {
                fori(i, h) fori(j, w) {
                    A[i][j] = (bit >> (i * w + j)) & 1;
                }

                mint tot = 0;
                fori(i, h) fori(j, w) {
                    if (A[i][j] == 0) continue;
                    ll now = 0;
                    st.push({i, j});
                    A[i][j] = 0;
                    now     = 1;
                    while (!st.empty()) {
                        auto [ci, cj] = st.top();
                        st.pop();
                        fori(d, 4) {
                            int ni = ci + di[d];
                            int nj = cj + dj[d];
                            if (ni < 0 or ni >= h or nj < 0 or nj >= w) continue;
                            if (A[ni][nj] == 0) continue;
                            st.push({ni, nj});
                            A[ni][nj] = 0;
                            now++;
                        }
                    }

                    cnt[now]++;

                    tot += powK[now];
                }

                dp[bit] = tot;
            }

            print("cnt[{", h, ", ", w, "}]={");
            for (auto c : cnt) {
                priend(c, ", ");
            }
            print("};");
        }
    }

    mint all_ = 0;
    if (h > w) swap(h, w);
    fori(i, h * w + 1) {
        ll v = cnt[{h, w}][i];
        all_ += powK[i] * v;
    }

    all_ /= mint(2).pow(h * w);
    mint ans = 0;
    fori(i, 1, h * w + 1) {
        ans += all_ / i;
    }
    print(ans);
}

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

// // #pragma GCC target("avx2")
// // #pragma GCC optimize("O3")
// // #pragma GCC optimize("unroll-loops")
// // #define INTERACTIVE
//
// #include "kyopro-cpp/template.hpp"
//
// #include "misc/Modint.hpp"
// using mint = modint;
//
// void solve() {
//     LL(h, w, K, M);
//     mint::set_mod(M);
//
//     vector<int> di = {0, 1, 0, -1};
//     vector<int> dj = {1, 0, -1, 0};
//     vec(mint, dp, 1 << (h * w));
//
//     vec(mint, powK, h * w + 1);
//     fori(i, h * w + 1) {
//         powK[i] = mint(i).pow(K);
//     }
//
//     map<pair<int, int>, vector<int>> cnt;
//     cnt[{1, 1}] = {
//         0,
//         1,
//     };
//     cnt[{1, 2}] = {
//         0,
//         2,
//         1,
//     };
//     cnt[{1, 3}] = {
//         0,
//         5,
//         2,
//         1,
//     };
//     cnt[{1, 4}] = {
//         0, 12, 5, 2, 1,
//     };
//     cnt[{1, 5}] = {
//         0, 28, 12, 5, 2, 1,
//     };
//     cnt[{2, 2}] = {
//         0, 8, 4, 4, 1,
//     };
//     cnt[{2, 3}] = {
//         0, 40, 17, 14, 10, 6, 1,
//     };
//     cnt[{2, 4}] = {
//         0, 192, 80, 64, 39, 28, 20, 8, 1,
//     };
//     cnt[{2, 5}] = {
//         0, 896, 368, 296, 184, 120, 81, 58, 34, 10, 1,
//     };
//     cnt[{3, 3}] = {
//         0, 400, 144, 106, 84, 69, 52, 32, 9, 1,
//     };
//     cnt[{3, 4}] = {
//         0, 3840, 1360, 952, 705, 550, 445, 360, 270, 164, 62, 12, 1,
//     };
//     cnt[{3, 5}] = {
//         0, 35840, 12544, 8720, 6408, 4897, 3772, 2972, 2371, 1873, 1385, 854, 376, 101, 15, 1,
//     };
//     cnt[{4, 4}] = {
//         0,    73728, 25600, 17152, 11728, 9040, 7504, 6288, 5340,
//         4436, 3432,  2360,  1296,  492,   116,  16,   1,
//     };
//     cnt[{4, 5}] = {
//         0,     1376256, 471040, 314368, 213248, 158976, 128272, 105936, 89480, 75998, 64363,
//         53486, 42473,   31078,  19942,  10358,  3972,   1054,   186,    20,    1,
//     };
//     cnt[{5, 5}] = {
//         0,       51380224, 17301504, 11501568, 7749632, 5599232, 4361216, 3564416, 3023760,
//         2603088, 2265120,  1971974,  1703398,  1448460, 1194986, 939036,  687581,  454452,
//         258314,  119182,   42437,    11295,    2192,    296,     25,      1,
//     };
//
//     if (false) {
//         fori(h, 1, 6) fori(w, h, 6) {
//             vec(ll, cnt, h * w + 1);
//
//             vvec(int, A, h, w);
//             stack<Pii> st;
//             fori(bit, 1 << (h * w)) {
//                 fori(i, h) fori(j, w) {
//                     A[i][j] = (bit >> (i * w + j)) & 1;
//                 }
//
//                 mint tot = 0;
//                 fori(i, h) fori(j, w) {
//                     if (A[i][j] == 0) continue;
//                     ll now = 0;
//                     st.push({i, j});
//                     A[i][j] = 0;
//                     now     = 1;
//                     while (!st.empty()) {
//                         auto [ci, cj] = st.top();
//                         st.pop();
//                         fori(d, 4) {
//                             int ni = ci + di[d];
//                             int nj = cj + dj[d];
//                             if (ni < 0 or ni >= h or nj < 0 or nj >= w) continue;
//                             if (A[ni][nj] == 0) continue;
//                             st.push({ni, nj});
//                             A[ni][nj] = 0;
//                             now++;
//                         }
//                     }
//
//                     cnt[now]++;
//
//                     tot += powK[now];
//                 }
//
//                 dp[bit] = tot;
//             }
//
//             print("cnt[{", h, ", ", w, "}]={");
//             for (auto c : cnt) {
//                 priend(c, ", ");
//             }
//             print("};");
//         }
//     }
//
//     mint all_ = 0;
//     if (h > w) swap(h, w);
//     fori(i, h * w + 1) {
//         ll v = cnt[{h, w}][i];
//         all_ += powK[i] * v;
//     }
//
//     all_ /= mint(2).pow(h * w);
//     mint ans = 0;
//     fori(i, 1, h * w + 1) {
//         ans += all_ / i;
//     }
//     print(ans);
// }
//
// int main() {
// #ifndef INTERACTIVE
//     std::cin.tie(0)->sync_with_stdio(0);
// #endif
//     // std::cout << std::fixed << std::setprecision(12);
//     int t;
//     t = 1;
//     // std::cin >> t;
//     while (t--) solve();
//     return 0;
// }
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