結果

問題 No.2983 Christmas Color Grid (Advent Calender ver.)
ユーザー kwm_t
提出日時 2024-12-08 03:21:00
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 3 ms / 3,340 ms
コード長 42,495 bytes
コンパイル時間 6,117 ms
コンパイル使用メモリ 311,924 KB
実行使用メモリ 5,248 KB
最終ジャッジ日時 2024-12-08 03:21:09
合計ジャッジ時間 7,317 ms
ジャッジサーバーID
(参考情報)
judge2 / judge5
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 64
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 #

#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using mint = atcoder::modint;
//using mint = modint1000000007;
//const int mod = 1000000007;
//using mint = modint998244353;
//const int mod = 998244353;
//const int INF = 1e9;
const long long LINF = 1e18;
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep2(i,l,r)for(int i=(l);i<(r);++i)
#define rrep(i, n) for (int i = (n) - 1; i >= 0; --i)
#define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i)
#define all(x) (x).begin(),(x).end()
#define allR(x) (x).rbegin(),(x).rend()
#define P pair<int,int>
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
int dp[26][26][26] = {
{
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
},
{
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0},{0,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0,0},{0,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0,0},{0,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0,0},{0,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0,0},{0,655360,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0,0},{0,1376256,655360,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0,0},{0,2883584,1376256,655360,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0,0},{0,6029312,2883584,1376256,655360,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0,0},{0,12582912,6029312,2883584,1376256,655360,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0,0},{0,26214400,12582912,6029312,2883584,1376256,655360,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0,0},{0,54525952,26214400,12582912,6029312,2883584,1376256,655360,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1,0},{0,113246208,54525952,26214400,12582912,6029312,2883584,1376256,655360,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1}
},
{
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},
{
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,5,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,40,17,14,10,6,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,400,144,106,84,69,52,32,9,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,3840,1360,952,705,550,445,360,270,164,62,12,1,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,35840,12544,8720,6408,4897,3772,2972,2371,1873,1385,854,376,101,15,1,0,0,0,0,0,0,0,0,0,0},{0,327680,113664,78592,57936,44456,34161,26334,20329,15846,12510,9758,7131,4478,2164,714,149,18,1,0,0,0,0,0,0,0},{0,2949120,1015808,699392,516864,398928,308296,238385,183352,140476,108244,84130,65926,50898,36946,23558,12123,4602,1205,206,21,1,0,0,0,0},{0,26214400,8978432,6160384,4561920,3537664,2748496,2136040,1652625,1269794,973997,746362,574842,446028,347449,266040,192322,124150,66909,28072,8654,1876,272,24,1,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
},
{
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{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,113246208,54525952,26214400,12582912,6029312,2883584,1376256,655360,311296,147456,69632,32768,15360,7168,3328,1536,704,320,144,64,28,12,5,2,1},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
}
};
// sorry..
int main() {
	int h, w;
	long long k, m; cin >> h >> w >> k >> m;
	mint::set_mod(m);
	vector c(h, vector<int>(w, -1));
	vector<mint>pw(h*w + 1, 1);
	pw[0] = 1;
	rep2(i, 1, h*w + 1)pw[i] = pow_mod(i, k, m);

	/*mint ans = 0;
	auto f = [&]()->void {
		dsu uf(h * w);
		rep(i, h)rep(j, w) {
			if (i != 0) {
				if (c[i - 1][j] == c[i][j]) {
					int p = (i - 1) * w + j;
					int q = i * w + j;
					uf.merge(p, q);
				}
			}
			if (j != 0) {
				if (c[i][j - 1] == c[i][j]) {
					int p = i * w + j;
					int q = i * w + j - 1;
					uf.merge(p, q);
				}
			}
		}
		rep(i, h*w) {
			if (uf.leader(i) != i)continue;
			if (!c[i / w][i % w])continue;
			ans += pw[uf.size(i)];
		}
	};

	auto dfs = [&](auto &&self, int idx, int connect)->void {
		if (idx == h * w) {
			f();
			return;
		}
		{
			c[idx / w][idx%w] = 0;
			self(self, idx + 1, connect);
			c[idx / w][idx%w] = -1;
		}
		{

			c[idx / w][idx%w] = 1;
			bool add = true;
			if (0 != idx / w && c[idx / w - 1][idx%w]) add = false;
			if (0 != idx % w && c[idx / w][idx%w - 1]) add = false;
			self(self, idx + 1, connect + add);
			c[idx / w][idx%w] = -1;
		}
	};
	dfs(dfs, 0, 0);*/
	mint ans = 0;
	rep(i, 26) ans += pw[i] * dp[h][w][i];
	ans /= pow_mod(2, h * w, m);
	{
		mint tmp = 0;
		rep(i, h * w) tmp += inv_mod(i + 1, m);
		ans *= tmp;
	}
	cout << ans.val() << endl;
	return 0;
}
0