結果
問題 | No.2983 Christmas Color Grid (Advent Calender ver.) |
ユーザー |
|
提出日時 | 2024-12-08 02:19:55 |
言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
結果 |
TLE
|
実行時間 | - |
コード長 | 5,604 bytes |
コンパイル時間 | 3,119 ms |
コンパイル使用メモリ | 261,848 KB |
実行使用メモリ | 14,592 KB |
最終ジャッジ日時 | 2024-12-08 02:20:47 |
合計ジャッジ時間 | 46,600 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge5 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 60 TLE * 4 |
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);vector<int> rev(1 << w, 0);rep(v, 0, 1 << w) rep(i, 0, w) rev[v] |= ((v >> i) & 1) << (w - 1 - i);int mask = (1 << w) - 1;vector<mint> cnt(h * w + 1, 0);vector<bool> ok(1 << (h * w), false);int vc[] = {0, 0, 0, 0};rep(bit, 1, 1 << (h * w)){int rbit = 0;rep(i, 0, h) rbit |= rev[(bit >> (i * w)) & mask] << (i * w);int cbit = 0;rep(i, 0, h) cbit |= ((bit >> (i * w)) & mask) << ((h - 1 - i) * w);int rcbit = 0;rep(i, 0, h) rcbit |= rev[(bit >> (i * w)) & mask] << ((h - 1 - i) * w);if (bit <= rbit && bit <= cbit && bit <= rcbit){int v = 0, cm = 0;rep(i, 0, h + 1) rep(j, 0, w){int u = w * i + j;int z = (v >> (j * 2)) & 3;if ((bit >> u) & 1){if (z){int y = j ? ((v >> (j * 2 - 2)) & 3) : 0;if (y > 0 && y != z){rep(x, 0, w) if (((v >> (x * 2)) & 3) == y){v ^= ((y ^ z) << (x * 2));vc[y]--;vc[z]++;}}}else{int y = j ? (v >> (j * 2 - 2)) & 3 : 0;if (y){z = y;}else{z = 1;while (vc[z])z++;}vc[z]++;v |= z << (j * 2);}}else{if (vc[z] == 1) cm++;vc[z]--;v &= ~(3 << (j * 2));}}ok[bit] = cm == 1;ok[rbit] = ok[bit];ok[cbit] = ok[bit];ok[rcbit] = ok[bit];if (!ok[bit]) continue;set<int> st;st.insert(bit);st.insert(rbit);st.insert(cbit);st.insert(rcbit);int val = (int)st.size();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] += val << (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();}