結果
| 問題 |
No.2136 Dice Calendar?
|
| コンテスト | |
| ユーザー |
 hos.lyric
|
| 提出日時 | 2022-11-25 21:50:58 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 605 ms / 5,000 ms |
| コード長 | 6,138 bytes |
| コンパイル時間 | 1,303 ms |
| コンパイル使用メモリ | 114,560 KB |
| 実行使用メモリ | 5,248 KB |
| 最終ジャッジ日時 | 2024-10-02 04:26:19 |
| 合計ジャッジ時間 | 5,806 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge2 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 24 |
ソースコード
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
static constexpr unsigned M = M_;
unsigned x;
constexpr ModInt() : x(0U) {}
constexpr ModInt(unsigned x_) : x(x_ % M) {}
constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
ModInt pow(long long e) const {
if (e < 0) return inv().pow(-e);
ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
}
ModInt inv() const {
unsigned a = M, b = x; int y = 0, z = 1;
for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
assert(a == 1U); return ModInt(y);
}
ModInt operator+() const { return *this; }
ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
explicit operator bool() const { return x; }
bool operator==(const ModInt &a) const { return (x == a.x); }
bool operator!=(const ModInt &a) const { return (x != a.x); }
friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////
constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;
constexpr int LIM_INV = 110;
Mint inv[LIM_INV], fac[LIM_INV], invFac[LIM_INV];
void prepare() {
inv[1] = 1;
for (int i = 2; i < LIM_INV; ++i) {
inv[i] = -((Mint::M / i) * inv[Mint::M % i]);
}
fac[0] = invFac[0] = 1;
for (int i = 1; i < LIM_INV; ++i) {
fac[i] = fac[i - 1] * i;
invFac[i] = invFac[i - 1] * inv[i];
}
}
Mint binom(Int n, Int k) {
if (n < 0) {
if (k >= 0) {
return ((k & 1) ? -1 : +1) * binom(-n + k - 1, k);
} else if (n - k >= 0) {
return (((n - k) & 1) ? -1 : +1) * binom(-k - 1, n - k);
} else {
return 0;
}
} else {
if (0 <= k && k <= n) {
assert(n < LIM_INV);
return fac[n] * invFac[k] * invFac[n - k];
} else {
return 0;
}
}
}
constexpr int M = 10;
constexpr int K = 6;
int N;
int S[30][30];
int dp[30][30];
int dpSum[30][30][30];
bitset<11'000'010> vis;
int xs[30];
int encode() {
int key = 0;
int n = N;
for (int a = 0; a < M; ++a) {
key += dpSum[M - a][n][xs[a]];
n -= xs[a];
}
return key;
}
Mint ans;
void dfs(int a, int n, int key) {
if (a == M) {
// if(N<=2){cerr<<"key = "<<key<<", xs = ";pv(xs,xs+M);}
if (vis[key]) {
const int i = N - xs[0];
if (i == N) {
Mint prod = fac[N];
for (int b = 0; b < M; ++b) {
prod *= invFac[xs[b]];
}
ans += prod;
} else {
--xs[0];
for (int k = 0; k < K; ++k) {
++xs[S[i][k]];
vis[encode()] = true;
--xs[S[i][k]];
}
++xs[0];
}
}
} else if (a == M - 1) {
xs[a] = n;
dfs(M, 0, key);
} else {
for (int &dn = xs[a] = n; dn >= 0; --dn) {
dfs(a + 1, n - dn, key);
key += dp[M - 1 - a][n - dn];
}
}
}
int main() {
prepare();
for (; ~scanf("%d", &N); ) {
for (int i = 0; i < N; ++i) for (int k = 0; k < K; ++k) {
scanf("%d", &S[i][k]);
}
memset(dp, 0, sizeof(dp));
memset(dpSum, 0, sizeof(dpSum));
dp[0][0] = 1;
for (int m = 1; m <= M; ++m) {
for (int n = 0; n <= N; ++n) {
for (int dn = n; dn >= 0; --dn) {
dpSum[m][n][dn] = dp[m][n];
dp[m][n] += dp[m - 1][n - dn];
}
}
// cerr<<"dp["<<m<<"] = ";pv(dp[m],dp[m]+N+1);
}
vis.reset();
vis[0] = true;
ans = 0;
dfs(0, N, 0);
printf("%u\n", ans.x);
}
return 0;
}