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 |
（要ログイン）
| 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>
#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}
},
{
{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{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},{0,192,80,64,39,28,20,8,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{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},{0,73728,25600,17152,11728,9040,7504,6288,5340,4436,3432,2360,1296,492,116,16,1,0,0,0,0,0,0,0,0,0},{0,1376256,471040,314368,213248,158976,128272,105936,89480,75998,64363,53486,42473,31078,19942,10358,3972,1054,186,20,1,0,0,0,0,0},{0,25165824,8519680,5668864,3856384,2863104,2288896,1868032,1553240,1299184,1090650,919360,774295,643000,517972,394544,274893,167464,83894,32492,9316,1920,272,24,1,0},{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},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},{0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0}
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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;
}