結果
問題 | No.2428 Returning Shuffle |
ユーザー |
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提出日時 | 2023-08-18 21:29:25 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 360 ms / 2,000 ms |
コード長 | 9,406 bytes |
コンパイル時間 | 2,842 ms |
コンパイル使用メモリ | 220,904 KB |
最終ジャッジ日時 | 2025-02-16 09:38:02 |
ジャッジサーバーID (参考情報) |
judge4 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 23 |
ソースコード
#line 1 "main.cpp"//#pragma GCC target("avx,avx2")//#pragma GCC optimize("O3")//#pragma GCC optimize("unroll-loops")#include<bits/stdc++.h>#ifdef LOCAL#include <debug.hpp>#define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)#else#define debug(...) (static_cast<void>(0))#endifusing namespace std;using ll = long long;using ld = long double;using pll = pair<ll, ll>;using pii = pair<int, int>;using vi = vector<int>;using vvi = vector<vi>;using vvvi = vector<vvi>;using vl = vector<ll>;using vvl = vector<vl>;using vvvl = vector<vvl>;using vpii = vector<pii>;using vpll = vector<pll>;using vs = vector<string>;template<class T> using pq = priority_queue<T, vector<T>, greater<T>>;#define overload4(_1, _2, _3, _4, name, ...) name#define overload3(a,b,c,name,...) name#define rep1(n) for (ll UNUSED_NUMBER = 0; UNUSED_NUMBER < (n); ++UNUSED_NUMBER)#define rep2(i, n) for (ll i = 0; i < (n); ++i)#define rep3(i, a, b) for (ll i = (a); i < (b); ++i)#define rep4(i, a, b, c) for (ll i = (a); i < (b); i += (c))#define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__)#define rrep1(n) for(ll i = (n) - 1;i >= 0;i--)#define rrep2(i,n) for(ll i = (n) - 1;i >= 0;i--)#define rrep3(i,a,b) for(ll i = (b) - 1;i >= (a);i--)#define rrep4(i,a,b,c) for(ll i = (a) + ((b)-(a)-1) / (c) * (c);i >= (a);i -= c)#define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__)#define all1(i) begin(i) , end(i)#define all2(i,a) begin(i) , begin(i) + a#define all3(i,a,b) begin(i) + a , begin(i) + b#define all(...) overload3(__VA_ARGS__, all3, all2, all1)(__VA_ARGS__)#define sum(...) accumulate(all(__VA_ARGS__),0LL)template<class T> bool chmin(T &a, const T &b){ if(a > b){ a = b; return 1; } else return 0; }template<class T> bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } else return 0; }template<class T> auto min(const T& a){return *min_element(all(a));}template<class T> auto max(const T& a){return *max_element(all(a));}template<class... Ts> void in(Ts&... t);#define INT(...) int __VA_ARGS__; in(__VA_ARGS__)#define LL(...) ll __VA_ARGS__; in(__VA_ARGS__)#define STR(...) string __VA_ARGS__; in(__VA_ARGS__)#define CHR(...) char __VA_ARGS__; in(__VA_ARGS__)#define DBL(...) double __VA_ARGS__; in(__VA_ARGS__)#define LD(...) ld __VA_ARGS__; in(__VA_ARGS__)#define VEC(type, name, size) vector<type> name(size); in(name)#define VV(type, name, h, w) vector<vector<type>> name(h, vector<type>(w)); in(name)ll intpow(ll a, ll b){ ll ans = 1; while(b){if(b & 1) ans *= a; a *= a; b /= 2;} return ans;}ll modpow(ll a, ll b, ll p){ ll ans = 1; a %= p;if(a < 0) a += p;while(b){ if(b & 1) (ans *= a) %= p; (a *= a) %= p; b /= 2; } return ans; }ll GCD(ll a,ll b) { if(a == 0 || b == 0) return 0; if(a % b == 0) return b; else return GCD(b,a%b);}ll LCM(ll a,ll b) { if(a == 0) return b; if(b == 0) return a;return a / GCD(a,b) * b;}namespace IO{#define VOID(a) decltype(void(a))struct setting{ setting(){cin.tie(nullptr); ios::sync_with_stdio(false);fixed(cout); cout.precision(12);}} setting;template<int I> struct P : P<I-1>{};template<> struct P<0>{};template<class T> void i(T& t){ i(t, P<3>{}); }void i(vector<bool>::reference t, P<3>){ int a; i(a); t = a; }template<class T> auto i(T& t, P<2>) -> VOID(cin >> t){ cin >> t; }template<class T> auto i(T& t, P<1>) -> VOID(begin(t)){ for(auto&& x : t) i(x); }template<class T, size_t... idx> void ituple(T& t, index_sequence<idx...>){in(get<idx>(t)...);}template<class T> auto i(T& t, P<0>) -> VOID(tuple_size<T>{}){ituple(t, make_index_sequence<tuple_size<T>::value>{});}#undef VOID}#define unpack(a) (void)initializer_list<int>{(a, 0)...}template<class... Ts> void in(Ts&... t){ unpack(IO :: i(t)); }#undef unpackstatic const double PI = 3.1415926535897932;template <class F> struct REC {F f;REC(F &&f_) : f(forward<F>(f_)) {}template <class... Args> auto operator()(Args &&...args) const { return f(*this, forward<Args>(args)...); }};//constexpr int mod = 1000000007;constexpr int mod = 998244353;#line 2 "library/modint/Modint.hpp"template <int mod>struct Modint{int x;Modint():x(0) {}Modint(long long y): x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}Modint &operator += (const Modint &p) {if((x += p.x) >= mod) x -= mod;return *this;}Modint &operator -= (const Modint &p) {if ((x += mod - p.x) >= mod) x -= mod;return *this;}Modint &operator *= (const Modint &p) {x = (int)(1LL * x * p.x % mod);return *this;}Modint &operator /= (const Modint &p) {*this *= p.inverse();return *this;}Modint operator -() const{return Modint(-x);}Modint operator +(const Modint &p) const {return Modint(*this) += p;}Modint operator -(const Modint &p) const {return Modint(*this) -= p;}Modint operator *(const Modint &p) const {return Modint(*this) *= p;}Modint operator /(const Modint &p) const {return Modint(*this) /= p;}Modint &operator ++() {if(x == mod - 1) x = 0; else x++; return *this;}Modint &operator --() {if(x == 0) x = mod - 1; else x--; return *this;}bool operator == (const Modint &p) const {return x == p.x;}bool operator != (const Modint &p) const {return x != p.x;}Modint inverse() const {int a = x, b = mod, u = 1, v = 0, t;while (b > 0) {t = a / b;swap(a -= t * b, b);swap(u -= t * v, v);}return Modint(u);}Modint pow(long long n) const {Modint ret(1), mul(x);while (n > 0) {if (n & 1) ret *= mul;mul *= mul;n >>= 1;}return ret;}friend ostream &operator<<(ostream &os, const Modint &p) { return os << p.x; }friend istream &operator>>(istream &is, Modint &a) {long long t;is >> t;a = Modint<mod>(t);return (is);}int get() const { return x; }static constexpr int get_mod() {return mod;}};#line 85 "main.cpp"using mint = Modint<mod>;using vm = vector<mint>;using vvm = vector<vm>;using vvvm = vector<vvm>;#line 1 "library/data-structure/unionfind.hpp"struct unionfind {public:unionfind() : _n(0) {}explicit unionfind(int n) : _n(n), parent_or_size(n, -1) {}int merge(int a, int b) {assert(0 <= a && a < _n);assert(0 <= b && b < _n);int x = find(a), y = find(b);if (x == y) return x;if (-parent_or_size[x] < -parent_or_size[y]) swap(x, y);parent_or_size[x] += parent_or_size[y];parent_or_size[y] = x;return x;}bool same(int a, int b) {assert(0 <= a && a < _n);assert(0 <= b && b < _n);return find(a) == find(b);}int find(int a) {assert(0 <= a && a < _n);if (parent_or_size[a] < 0) return a;return parent_or_size[a] = find(parent_or_size[a]);}int size(int a) {assert(0 <= a && a < _n);return -parent_or_size[find(a)];}vector<vector<int>> groups() {vector<int> leader_buf(_n), group_size(_n);for (int i = 0; i < _n; i++) {leader_buf[i] = find(i);group_size[leader_buf[i]]++;}vector<vector<int>> result(_n);for (int i = 0; i < _n; i++) {result[i].reserve(group_size[i]);}for (int i = 0; i < _n; i++) {result[leader_buf[i]].push_back(i);}result.erase(remove_if(result.begin(), result.end(),[&](const vector<int>& v) { return v.empty(); }),result.end());return result;}private:int _n;// root node: -1 * component size// otherwise: parentvector<int> parent_or_size;};#line 2 "library/math/factorize.hpp"vector<pair<long long,int>> prime_factorization(long long n) {vector<pair<long long,int>> ret;int c = 0;while(n % 2 == 0) {c++;n >>= 1;}if(c) ret.emplace_back(2,c);for(long long i = 3; i * i <= n; i += 2) {c = 0;while(n % i == 0) {n /= i;c++;}if(c) ret.emplace_back(i,c);}if (n != 1) ret.emplace_back(n,1);return ret;}vector<long long> divisor(long long n) {vector<long long> ret;for(long long i = 1; i * i <= n; i++) {if (n % i == 0) {ret.push_back(i);if(i * i != n) {ret.push_back(n / i);}}}sort(ret.begin(),ret.end());return ret;}#line 91 "main.cpp"int main() {INT(n,m);vi t(m);vvi s(m);rep(i,m) {cin >> t[i];rep(j,t[i]) {INT(x);x--;s[i].emplace_back(x);}}vi P(n);iota(all(P),0);debug(t,s);rep(i,m) {int tmp = P[s[i][t[i]-1]];rrep(j,t[i]-1) {P[s[i][j+1]] = P[s[i][j]];}P[s[i][0]] = tmp;debug(P);}unionfind uf(n);rep(i,n) uf.merge(i,P[i]);mint ans = 1;auto gs = uf.groups();map<int,int> mp;rep(i,gs.size()) {auto ret = prime_factorization((int)gs[i].size());for(auto &[p,c]:ret) chmax(mp[p],c);}for(auto &[p,c]:mp) ans *= mint(p).pow(c);cout << ans << '\n';}