結果

問題 No.2733 Just K-times TSP
ユーザー Aging1986Aging1986
提出日時 2024-04-19 22:25:17
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 720 ms / 2,000 ms
コード長 10,564 bytes
コンパイル時間 3,543 ms
コンパイル使用メモリ 235,576 KB
実行使用メモリ 58,072 KB
最終ジャッジ日時 2024-04-19 22:25:36
合計ジャッジ時間 5,579 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge1
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 1 ms
5,376 KB
testcase_02 AC 1 ms
5,376 KB
testcase_03 AC 2 ms
5,376 KB
testcase_04 AC 2 ms
5,376 KB
testcase_05 AC 1 ms
5,376 KB
testcase_06 AC 1 ms
5,376 KB
testcase_07 AC 2 ms
5,376 KB
testcase_08 AC 1 ms
5,376 KB
testcase_09 AC 2 ms
5,376 KB
testcase_10 AC 2 ms
5,376 KB
testcase_11 AC 2 ms
5,376 KB
testcase_12 AC 2 ms
5,376 KB
testcase_13 AC 2 ms
5,376 KB
testcase_14 AC 2 ms
5,376 KB
testcase_15 AC 3 ms
5,376 KB
testcase_16 AC 2 ms
5,376 KB
testcase_17 AC 9 ms
5,376 KB
testcase_18 AC 19 ms
6,528 KB
testcase_19 AC 36 ms
7,936 KB
testcase_20 AC 2 ms
5,376 KB
testcase_21 AC 4 ms
5,376 KB
testcase_22 AC 75 ms
15,104 KB
testcase_23 AC 13 ms
6,400 KB
testcase_24 AC 179 ms
21,664 KB
testcase_25 AC 139 ms
19,768 KB
testcase_26 AC 1 ms
5,376 KB
testcase_27 AC 2 ms
5,376 KB
testcase_28 AC 6 ms
5,376 KB
testcase_29 AC 16 ms
6,656 KB
testcase_30 AC 50 ms
9,984 KB
testcase_31 AC 131 ms
17,940 KB
testcase_32 AC 307 ms
32,404 KB
testcase_33 AC 720 ms
58,072 KB
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 # 

#pragma clang diagnostic push
#pragma ide diagnostic ignored "cppcoreguidelines-narrowing-conversions"
#pragma ide diagnostic ignored "hicpp-signed-bitwise"
#pragma GCC optimize ("Ofast,unroll-loops")
#pragma GCC optimize("no-stack-protector,fast-math")

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef pair<double, double> pdd;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<double> vd;
typedef vector<string> vs;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<vll> vvll;
typedef vector<vvll> vvvll;
typedef vector<pii> vpii;
typedef vector<vpii> vvpii;
typedef vector<pll> vpll;
typedef vector<vpll> vvpll;
typedef vector<pdd> vpdd;
typedef vector<vd> vvd;
#define yn(ans) printf("%s\n", (ans)?"Yes":"No");
#define YN(ans) printf("%s\n", (ans)?"YES":"NO");
template<class T> bool chmax(T &a, T b) {
	if (a >= b) return false;
	a = b; return true;
}
template<class T> bool chmin(T &a, T b) {
	if (a <= b) return false;
	a = b; return true;
}
#define FOR(i, s, e, t) for ((i) = (s); (i) < (e); (i) += (t)) 
#define REP(i, e) for (int i = 0; i < (e); ++i) 
#define REP1(i, s, e) for (int i = (s); i < (e); ++i)
#define RREP(i, e) for (int i = (e); i >= 0; --i)
#define RREP1(i, e, s) for (int i = (e); i >= (s); --i)
#define all(v) v.begin(), v.end()
#define pb push_back
#define qb pop_back
#define pf push_front
#define qf pop_front
#define maxe max_element
#define mine min_element
ll inf = 1e18;
#define DEBUG printf("%d\n", __LINE__); fflush(stdout);
template<class T> void print(vector<T> &v, bool withSize = false) {
	if (withSize) cout << v.size() << endl;
	REP(i, v.size()) cout << v[i] << " "; 
	cout << endl;
}
mt19937_64 rng((unsigned int) chrono::steady_clock::now().time_since_epoch().count());

int __FAST_IO__ = []() {
	std::ios::sync_with_stdio(0);
	std::cin.tie(0);
	std::cout.tie(0);
	return 0;
}();

// Mint & Combinatorics
 
template <typename T>
T inverse(T a, T m) {
  T u = 0, v = 1;
  while (a != 0) {
    T t = m / a;
    m -= t * a; swap(a, m);
    u -= t * v; swap(u, v);
  }
  return u;
}
 
template <typename T>
class Modular {
 public:
  using Type = typename decay<decltype(T::value)>::type;
 
  constexpr Modular() : value() {}
  template <typename U>
  Modular(const U& x) {
    value = normalize(x);
  }
 
  template <typename U>
  static Type normalize(const U& x) {
    Type v;
    if (-mod() <= x && x < mod()) v = static_cast<Type>(x);
    else v = static_cast<Type>(x % mod());
    if (v < 0) v += mod();
    return v;
  }
 
  const Type& operator()() const { return value; }
  template <typename U>
  explicit operator U() const { return static_cast<U>(value); }
  constexpr static Type mod() { return T::value; }
 
  Modular& operator+=(const Modular& other) { if ((value += other.value) >= mod()) value -= mod(); return *this; }
  Modular& operator-=(const Modular& other) { if ((value -= other.value) < 0) value += mod(); return *this; }
  template <typename U> Modular& operator+=(const U& other) { return *this += Modular(other); }
  template <typename U> Modular& operator-=(const U& other) { return *this -= Modular(other); }
  Modular& operator++() { return *this += 1; }
  Modular& operator--() { return *this -= 1; }
  Modular operator++(int) { Modular result(*this); *this += 1; return result; }
  Modular operator--(int) { Modular result(*this); *this -= 1; return result; }
  Modular operator-() const { return Modular(-value); }
 
  template <typename U = T>
  typename enable_if<is_same<typename Modular<U>::Type, int>::value, Modular>::type& operator*=(const Modular& rhs) {
#ifdef _WIN32
    uint64_t x = static_cast<int64_t>(value) * static_cast<int64_t>(rhs.value);
    uint32_t xh = static_cast<uint32_t>(x >> 32), xl = static_cast<uint32_t>(x), d, m;
    asm(
      "divl %4; \n\t"
      : "=a" (d), "=d" (m)
      : "d" (xh), "a" (xl), "r" (mod())
    );
    value = m;
#else
    value = normalize(static_cast<int64_t>(value) * static_cast<int64_t>(rhs.value));
#endif
    return *this;
  }
  template <typename U = T>
  typename enable_if<is_same<typename Modular<U>::Type, long long>::value, Modular>::type& operator*=(const Modular& rhs) {
    long long q = static_cast<long long>(static_cast<long double>(value) * rhs.value / mod());
    value = normalize(value * rhs.value - q * mod());
    return *this;
  }
  template <typename U = T>
  typename enable_if<!is_integral<typename Modular<U>::Type>::value, Modular>::type& operator*=(const Modular& rhs) {
    value = normalize(value * rhs.value);
    return *this;
  }
 
  Modular& operator/=(const Modular& other) { return *this *= Modular(inverse(other.value, mod())); }
 
  friend const Type& abs(const Modular& x) { return x.value; }
 
  template <typename U>
  friend bool operator==(const Modular<U>& lhs, const Modular<U>& rhs);
 
  template <typename U>
  friend bool operator<(const Modular<U>& lhs, const Modular<U>& rhs);
 
  template <typename V, typename U>
  friend V& operator>>(V& stream, Modular<U>& number);
 
 private:
  Type value;
};
 
template <typename T> bool operator==(const Modular<T>& lhs, const Modular<T>& rhs) { return lhs.value == rhs.value; }
template <typename T, typename U> bool operator==(const Modular<T>& lhs, U rhs) { return lhs == Modular<T>(rhs); }
template <typename T, typename U> bool operator==(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) == rhs; }
 
template <typename T> bool operator!=(const Modular<T>& lhs, const Modular<T>& rhs) { return !(lhs == rhs); }
template <typename T, typename U> bool operator!=(const Modular<T>& lhs, U rhs) { return !(lhs == rhs); }
template <typename T, typename U> bool operator!=(U lhs, const Modular<T>& rhs) { return !(lhs == rhs); }
 
template <typename T> bool operator<(const Modular<T>& lhs, const Modular<T>& rhs) { return lhs.value < rhs.value; }
 
template <typename T> Modular<T> operator+(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) += rhs; }
template <typename T, typename U> Modular<T> operator+(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) += rhs; }
template <typename T, typename U> Modular<T> operator+(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) += rhs; }
 
template <typename T> Modular<T> operator-(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) -= rhs; }
template <typename T, typename U> Modular<T> operator-(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) -= rhs; }
template <typename T, typename U> Modular<T> operator-(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) -= rhs; }
 
template <typename T> Modular<T> operator*(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) *= rhs; }
template <typename T, typename U> Modular<T> operator*(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) *= rhs; }
template <typename T, typename U> Modular<T> operator*(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) *= rhs; }
 
template <typename T> Modular<T> operator/(const Modular<T>& lhs, const Modular<T>& rhs) { return Modular<T>(lhs) /= rhs; }
template <typename T, typename U> Modular<T> operator/(const Modular<T>& lhs, U rhs) { return Modular<T>(lhs) /= rhs; }
template <typename T, typename U> Modular<T> operator/(U lhs, const Modular<T>& rhs) { return Modular<T>(lhs) /= rhs; }
 
template<typename T, typename U>
Modular<T> power(const Modular<T>& a, const U& b) {
  assert(b >= 0);
  Modular<T> x = a, res = 1;
  U p = b;
  while (p > 0) {
    if (p & 1) res *= x;
    x *= x;
    p >>= 1;
  }
  return res;
}
 
template <typename T>
bool IsZero(const Modular<T>& number) {
  return number() == 0;
}
 
template <typename T>
string to_string(const Modular<T>& number) {
  return to_string(number());
}
 
// U == std::ostream? but done this way because of fastoutput
template <typename U, typename T>
U& operator<<(U& stream, const Modular<T>& number) {
  return stream << number();
}
 
// U == std::istream? but done this way because of fastinput
template <typename U, typename T>
U& operator>>(U& stream, Modular<T>& number) {
  typename common_type<typename Modular<T>::Type, long long>::type x;
  stream >> x;
  number.value = Modular<T>::normalize(x);
  return stream;
}
 
struct MOD {
    static int value;
};
int MOD::value = 998244353;
using Mint = Modular<MOD>;
typedef vector<Mint> vm;
typedef vector<vm> vvm;
typedef vector<vvm> vvvm;

vector<vector<int>> readGraph(int N, int M, bool isDirected = false) {
	vector<vector<int>> g(N);
    REP(i, M) {
    	int u, v;
	    cin >> u >> v;
    	--u, --v;
    	g[u].push_back(v);
    	if (!isDirected) g[v].push_back(u);
    }
    return g;
}

#define TESTS int t; cin >> t; while (t--)
#define TEST 
int main() {
    TEST {
    	int N, M, K;
    	cin >> N >> M >> K;
    	auto g = readGraph(N, M);
    //	N = 6, M = 21, K = 8;
    //	vvi g(N);
    //	REP(i, N) REP(j, N) if (i != j) g[i].pb(j);
    	int tot = N * K;
    	vi base(N + 1, 1);
    	REP1(i, 1, N + 1) base[i] = base[i - 1] * (K + 1);
    	int full = base[N] - 1;
    	Mint ans = 0;
    	if (tot == 1) ans = 1;
    	else {
    		auto get = [&](int step1, int step2, vector<unordered_map<int, Mint>> &ret1, vector<unordered_map<int, Mint>> &ret2) {
    			vector<unordered_map<int, Mint>> dp(N);
    			REP(i, N) dp[i][base[i]] = 1;
    			if (step1 == 1) ret1 = dp;
    			if (step2 == 1) ret2 = dp;
    			REP(i, max(step1, step2) - 1) {
    				vector<unordered_map<int, Mint>> ndp(N);
    				REP(j, N) {
    					for (auto &e: dp[j]) {
    						for (auto k: g[j]) {
    							int c = e.first / base[k] % K;
    							if (c == K) continue;
    							int f = e.first + base[k];
    							ndp[k][f] += e.second;
    						}
    					}
    				}
    				swap(dp, ndp);
    				if (i + 2 == step1) ret1 = dp;
    				if (i + 2 == step2) ret2 = dp;
    			/*	printf("after step %d\n", i + 2);
    				REP(j, N) {
		    			printf("%d: ", j);
		    			for (auto &e: dp[j]) printf("(%d %d) ", e.first, e.second);
		    			printf("\n");
		    		}*/
    			}
    			return dp;
    		};
    		vector<unordered_map<int, Mint>> dp1, dp2;
    		get(tot / 2, tot - tot / 2, dp1, dp2);
    		/*REP(i, N) {
    			printf("%d: ", i);
    			for (auto &e: dp1[i]) printf("(%d %d) ", e.first, e.second);
    			printf("\n");
    		}*/
    		REP(i, N) {
    			for (auto j: g[i]) {
    				for (auto &e: dp1[i]) {
    					int f = full - e.first;
    					if (dp2[j].count(f)) ans += e.second * dp2[j][f];
    				}
    			}
    		}
    	}
    	printf("%d\n", ans);
    }
    
    return 0;
}
0