結果

問題 No.2615 ペアの作り方
ユーザー Re0denX
提出日時 2024-01-27 17:12:21
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
実行時間 -
コード長 6,622 bytes
コンパイル時間 2,486 ms
コンパイル使用メモリ 212,044 KB
最終ジャッジ日時 2025-02-19 00:20:35
ジャッジサーバーID
(参考情報)
judge1 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
other AC * 10 WA * 11
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ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
template <typename A, typename B>
string to_string(pair<A, B> p);
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);
string to_string(const string& s) {
return '"' + s + '"';
}
string to_string(const char* s) {
return to_string((string) s);
}
string to_string(bool b) {
return (b ? "true" : "false");
}
string to_string(vector<bool> v) {
bool first = true;
string res = "{";
for (int i = 0; i < static_cast<int>(v.size()); i++) {
if (!first) {
res += ", ";
}
first = false;
res += to_string(v[i]);
}
res += "}";
return res;
}
template <size_t N>
string to_string(bitset<N> v) {
string res = "";
for (size_t i = 0; i < N; i++) {
res += static_cast<char>('0' + v[i]);
}
return res;
}
template <typename A>
string to_string(A v) {
bool first = true;
string res = "{";
for (const auto &x : v) {
if (!first) {
res += ", ";
}
first = false;
res += to_string(x);
}
res += "}";
return res;
}
template <typename A, typename B>
string to_string(pair<A, B> p) {
return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}
template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
cerr << " " << to_string(H);
debug_out(T...);
}
#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
template <class T> struct Combina {
int n;
std::vector<T> fact, invfact;
Combina() {}
Combina(int _n) : n(_n), fact(_n + 1), invfact(_n + 1) {
fact[0] = 1;
for (int i = 1; i <= n; i++)
fact[i] = fact[i - 1] * i;
invfact[n] = 1 / fact[n];
for (int i = n; i >= 1; i--)
invfact[i - 1] = invfact[i] * i;
}
T binom(int a, int b) {
if (a < b || b < 0)
return 0;
return fact[a] * invfact[b] * invfact[a - b];
}
long long lucas(long long n, long long m, long long p) {
if (n > 0 || m > 0)
return lucas(n / p, m / p, p) * lucas(n % p, m % p, p) % p;
else
return 1ll;
}
};
template <typename T> T mod_inv_in_range(T a, T m) {
// assert(0 <= a && a < m);
T x = a, y = m;
// coeff of a in x and y
T vx = 1, vy = 0;
while (x) {
T k = y / x;
y %= x;
vy -= k * vx;
std::swap(x, y);
std::swap(vx, vy);
}
assert(y == 1);
return vy < 0 ? m + vy : vy;
}
template <typename T> struct extended_gcd_result {
T gcd;
T coeff_a, coeff_b;
};
template <typename T> extended_gcd_result<T> extended_gcd(T a, T b) {
T x = a, y = b;
// coeff of a and b in x and y
T ax = 1, ay = 0;
T bx = 0, by = 1;
while (x) {
T k = y / x;
y %= x;
ay -= k * ax;
by -= k * bx;
std::swap(x, y);
std::swap(ax, ay);
std::swap(bx, by);
}
return {y, ay, by};
}
template <typename T> T mod_inv(T a, T m) {
a %= m;
a = a < 0 ? a + m : a;
return mod_inv_in_range(a, m);
}
template <int MOD_> struct modnum {
static constexpr int MOD = MOD_;
static_assert(MOD_ > 0, "MOD must be positive");
private:
int v;
public:
modnum() : v(0) {}
modnum(int64_t v_) : v(int(v_ % MOD)) { if (v < 0) v += MOD; }
explicit operator int() const { return v; }
friend std::ostream& operator << (std::ostream& out, const modnum& n) { return out << int(n); }
friend std::istream& operator >> (std::istream& in, modnum& n) { int64_t v_; in >> v_; n = modnum(v_); return in; }
friend bool operator == (const modnum& a, const modnum& b) { return a.v == b.v; }
friend bool operator != (const modnum& a, const modnum& b) { return a.v != b.v; }
modnum inv() const {
modnum res;
res.v = mod_inv_in_range(v, MOD);
return res;
}
friend modnum inv(const modnum& m) { return m.inv(); }
modnum neg() const {
modnum res;
res.v = v ? MOD-v : 0;
return res;
}
friend modnum neg(const modnum& m) { return m.neg(); }
modnum operator- () const {
return neg();
}
modnum operator+ () const {
return modnum(*this);
}
modnum& operator ++ () {
v ++;
if (v == MOD) v = 0;
return *this;
}
modnum& operator -- () {
if (v == 0) v = MOD;
v --;
return *this;
}
modnum& operator += (const modnum& o) {
v -= MOD-o.v;
v = (v < 0) ? v + MOD : v;
return *this;
}
modnum& operator -= (const modnum& o) {
v -= o.v;
v = (v < 0) ? v + MOD : v;
return *this;
}
modnum& operator *= (const modnum& o) {
v = int(int64_t(v) * int64_t(o.v) % MOD);
return *this;
}
modnum& operator /= (const modnum& o) {
return *this *= o.inv();
}
friend modnum operator ++ (modnum& a, int) { modnum r = a; ++a; return r; }
friend modnum operator -- (modnum& a, int) { modnum r = a; --a; return r; }
friend modnum operator + (const modnum& a, const modnum& b) { return modnum(a) += b; }
friend modnum operator - (const modnum& a, const modnum& b) { return modnum(a) -= b; }
friend modnum operator * (const modnum& a, const modnum& b) { return modnum(a) *= b; }
friend modnum operator / (const modnum& a, const modnum& b) { return modnum(a) /= b; }
};
template <typename T> T pow(T a, long long b) {
assert(b >= 0);
T r = 1; while (b) { if (b & 1) r *= a; b >>= 1; a *= a; } return r;
}
int main() {
std::cin.tie(nullptr)->sync_with_stdio(false);
using num = modnum<998244353>;
int N; std::cin >> N;
std::vector<int> X(N), Y(N);
std::vector<int> S;
for (auto &x : X) std::cin >> x, S.push_back(x);
for (auto &x : Y) std::cin >> x, S.push_back(x);
std::sort(X.begin(), X.end());
std::sort(Y.rbegin(), Y.rend());
std::sort(S.begin(), S.end());
S.resize(N);
std::set<int> hv;
hv.insert(S.begin(), S.end());
debug(hv);
Combina<num> comb(N);
int A = 0;
for (auto &x : X) A += (hv.count(x) != 0U);
int B = N - A;
if (A > B) std::swap(A, B);
auto sq = [](const num &x) -> num {
return num(x * x);
};
num ans = sq(comb.fact[std::min(A, B)]);
int diff = B - A;
if (diff) ans *= comb.binom(B, diff) * sq(diff);
std::cout << ans << "\n";
}
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