結果
問題 | No.2983 Christmas Color Grid (Advent Calender ver.) |
ユーザー |
|
提出日時 | 2024-12-08 01:03:18 |
言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 5,372 bytes |
コンパイル時間 | 6,555 ms |
コンパイル使用メモリ | 316,020 KB |
実行使用メモリ | 18,688 KB |
最終ジャッジ日時 | 2024-12-08 01:04:46 |
合計ジャッジ時間 | 85,065 ms |
ジャッジサーバーID (参考情報) |
judge2 / judge4 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 2 TLE * 1 |
other | AC * 49 TLE * 15 |
ソースコード
#include <bits/stdc++.h>using namespace std;#include <atcoder/all>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; }struct dsu_{public:dsu_() : _n(0) {}explicit dsu_(int n) : _n(n), parent_or_size(n, -1){flg = vi(n);rep(i, 0, n) flg[i] = 1 << i;}void clear(){fill(all(parent_or_size), -1);rep(i, 0, flg.size()) flg[i] = 1 << i;}int merge(int a, int b){assert(0 <= a && a < _n);assert(0 <= b && b < _n);int x = leader(a), y = leader(b);if (x == y) return x;if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y);parent_or_size[x] += parent_or_size[y];parent_or_size[y] = x;flg[x] |= flg[y];return x;}int leader(int a){assert(0 <= a && a < _n);if (parent_or_size[a] < 0) return a;return parent_or_size[a] = leader(parent_or_size[a]);}int size(int a){assert(0 <= a && a < _n);return -parent_or_size[leader(a)];}int f(int a){assert(0 <= a && a < _n);return flg[leader(a)];}private:int _n;// root node: -1 * component size// otherwise: parentstd::vector<int> parent_or_size;vi flg;};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;using mint = dynamic_modint<0>;mint::set_mod(m);vector<bool> ok(1 << (h * w), false), skip(1 << (h * w), false);dsu_ uf(h * w);rrep(bit, 1, 1 << (h * w)){if (skip[bit]) continue;uf.clear();for (int i = 0; i < h; i++)for (int j = 0; j + 1 < w; j++)if (((bit >> (w * i + j)) & 1) & ((bit >> (w * i + j + 1)) & 1))uf.merge(w * i + j, w * i + j + 1);for (int i = 0; i + 1 < h; i++)for (int j = 0; j < w; j++)if (((bit >> (w * i + j)) & 1) & ((bit >> (w * i + j + w)) & 1))uf.merge(w * i + j, w * i + j + w);vi fs;for (int i = 0; i < h * w; i++)if (((bit >> i) & 1) == 1 && uf.leader(i) == i){int f = uf.f(i);fs.push_back(f);ok[f] = true;}rep(i, 1, 1 << int(fs.size())){int v = 0;rep(j, 0, fs.size()) if ((i >> j) & 1) v |= fs[j];skip[v] = true;}}vector<mint> cnt(h * w + 1, 0);rep(bit, 0, 1 << (h * w)){if (!ok[bit]) continue;int pc = __builtin_popcount(bit);int c = 0;for (int x = 0; x < h; x++)for (int y = 0; y < w; y++){if ((bit >> (w * x + y)) & 1) continue;bool f = false;for (int i = 0; i < 4; i++){int nx = x + dx[i], ny = y + dy[i];if (nx < 0 || nx >= h || ny < 0 || ny >= w) continue;f |= (bit >> (w * nx + ny)) & 1;}if (f) c++;}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();}