結果
問題 | No.2983 Christmas Color Grid (Advent Calender ver.) |
ユーザー |
|
提出日時 | 2024-12-08 12:22:00 |
言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 458 ms / 3,340 ms |
コード長 | 3,536 bytes |
コンパイル時間 | 3,388 ms |
コンパイル使用メモリ | 253,356 KB |
実行使用メモリ | 7,296 KB |
最終ジャッジ日時 | 2024-12-08 12:22:08 |
合計ジャッジ時間 | 7,204 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 64 |
ソースコード
#include <bits/stdc++.h>using namespace std;#include <atcoder/modint>using namespace atcoder;using mint = modint998244353;using vm = vector<mint>;using vvm = vector<vm>;inline ostream &operator<<(ostream &os, const mint x){return os << x.val();};inline istream &operator>>(istream &is, mint &x){long long v;is >> v;x = v;return is;};struct Fast{Fast(){std::cin.tie(nullptr);ios::sync_with_stdio(false);cout << setprecision(10);}} fast;#define all(a) (a).begin(), (a).end()#define contains(a, x) ((a).find(x) != (a).end())#define rep(i, a, b) for (int i = (a); i < (int)(b); i++)#define rrep(i, a, b) for (int i = (int)(b) - 1; i >= (a); i--)#define YN(b) cout << ((b) ? "YES" : "NO") << "\n";#define Yn(b) cout << ((b) ? "Yes" : "No") << "\n";#define yn(b) cout << ((b) ? "yes" : "no") << "\n";template <class T>inline bool chmin(T &a, T b){if (a > b){a = b;return true;}return false;}template <class T>inline bool chmax(T &a, T b){if (a < b){a = b;return true;}return false;}using ll = long long;using vb = vector<bool>;using vvb = vector<vb>;using vi = vector<int>;using vvi = vector<vi>;using vl = vector<ll>;using vvl = vector<vl>;template <typename T1, typename T2>ostream &operator<<(ostream &os, pair<T1, T2> &p){os << "(" << p.first << "," << p.second << ")";return os;}template <typename T>ostream &operator<<(ostream &os, vector<T> &vec){for (int i = 0; i < (int)vec.size(); i++){os << vec[i] << (i + 1 == (int)vec.size() ? "" : " ");}return os;}template <typename T>istream &operator>>(istream &is, vector<T> &vec){for (int i = 0; i < (int)vec.size(); i++)is >> vec[i];return is;}ll floor(ll a, ll b) { return a >= 0 ? a / b : (a + 1) / b - 1; }ll ceil(ll a, ll b) { return a > 0 ? (a - 1) / b + 1 : a / b; }int dx[] = {1, 0, -1, 0};int dy[] = {0, 1, 0, -1};void solve(){int h, w, m;ll k;cin >> h >> w >> k >> m;if (h < w) swap(h, w);using mint = dynamic_modint<0>;mint::set_mod(m);int mask0 = (1 << w) - 1;int mask1 = 0;rep(i, 0, h) mask1 |= 1 << (w * i);int mask2 = mask0 << ((h - 1) * w);int mask3 = mask1 << (w - 1);int mask_all = (1 << (h * w)) - 1;auto gd = [&](int bit){ return mask_all & (((bit & ~mask0) >> w) | ((bit & ~mask2) << w) | ((bit & ~mask1) >> 1) | ((bit & ~mask3) << 1)); };vector<bool> ok(1 << (h * w), false);auto dfs = [&](auto dfs, int f) -> void{ok[f] = true;rep(i, 0, h * w){if ((f >> i) & 1) continue;if (!((gd(f) >> i) & 1)) continue;int nf = f | (1 << i);if (ok[nf]) continue;ok[nf] = true;dfs(dfs, nf);}};rep(i, 0, h * w) dfs(dfs, 1 << i);vector<mint> cnt(h * w + 1, 0);rep(bit, 1, 1 << (h * w)){if (!ok[bit]) continue;int pc = __builtin_popcount(bit);int nbit = gd(bit);int c = __builtin_popcount((~bit) & nbit);cnt[pc] += 1 << (h * w - pc - c);}mint ans = 0;rep(i, 0, h * w + 1) ans += mint(i).pow(k) * cnt[i];mint p = 0;rep(i, 1, h * w + 1) p += mint(i).inv();ans *= p;ans *= mint(2).inv().pow(h * w);cout << ans.val() << "\n";}int main(){int t = 1;// cin >> t;while (t--)solve();}