結果
問題 | No.3099 Parentheses Decomposition |
ユーザー |
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提出日時 | 2025-04-11 21:23:08 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 18 ms / 2,000 ms |
コード長 | 4,695 bytes |
コンパイル時間 | 5,292 ms |
コンパイル使用メモリ | 218,532 KB |
実行使用メモリ | 9,728 KB |
最終ジャッジ日時 | 2025-04-11 21:23:15 |
合計ジャッジ時間 | 5,931 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 4 |
other | AC * 20 |
ソースコード
#pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include <iostream> #include <vector> #include <algorithm> #include <cmath> #include <string> #include <queue> #include <stack> #include <set> #include <map> #include <array> #include <iomanip> #include <utility> #include <tuple> #include <functional> #include <bitset> #include <cassert> #include <complex> #include <stdio.h> #include <time.h> #include <numeric> #include <random> #include <unordered_set> #include <unordered_map> #define all(a) (a).begin(), (a).end() #define rep(i, n) for (ll i = 0; i < (n); i++) #define req(i, a, b) for (ll i = (a); i < (b); i++) #define pb push_back #define debug(x) cerr << __LINE__ << ' ' << #x << ':' << (x) << '\n' #define debug2(x, y) cerr << __LINE__ << ' ' << #x << ':' << (x) << ',' << #y << ':' << (y) << '\n' #define debug3(x, y, z) cerr << __LINE__ << ' ' << #x << ':' << (x) << ',' << #y << ':' << (y) << ',' << #z << ':' << (z) << '\n' using namespace std; typedef long long ll; typedef unsigned int uint; typedef unsigned long long ull; typedef long double ld; template<class T> using P = pair<T, T>; template<class T> using pri_l = priority_queue<T>; template<class T> using pri_s = priority_queue<T, vector<T>, greater<T>>; constexpr int inf = 1000000010; constexpr int inf2 = 2000000010; constexpr ll INF = 1000000000000000010; constexpr ll INF4 = 4000000000000000010; constexpr int mod1e9 = 1000000007; constexpr int mod998 = 998244353; constexpr ld eps = 1e-12; constexpr ld pi = 3.141592653589793238; constexpr ll ten(int n) { return n ? 10 * ten(n - 1) : 1; }; int dx[] = { 1,0,-1,0,1,1,-1,-1,0 }; int dy[] = { 0,1,0,-1,1,-1,1,-1,0 }; ll mul(ll a, ll b) { return (b != 0 && a > INF / b ? INF : a * b); } void fail() { cout << "-1\n"; exit(0); } void no() { cout << "No\n"; exit(0); } template<class T> void er(T a) { cout << a << '\n'; exit(0); } template<class T, class U> inline bool chmax(T& a, const U& b) { if (a < b) { a = b; return true; } return false; } template<class T, class U> inline bool chmin(T& a, const U& b) { if (a > b) { a = b; return true; } return false; } template<class T> istream& operator >>(istream& s, vector<T>& v) { for (auto& e : v) s >> e; return s; } template<class T> ostream& operator <<(ostream& s, const vector<T>& v) { for (auto& e : v) s << e << ' '; return s; } template<class T, class U> ostream& operator << (ostream& s, const pair<T, U>& p) { s << p.first << ' ' << p.second; return s; } struct fastio { fastio() { cin.tie(0); cout.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(20); } }fastio_; namespace rdv { random_device seed_gen; mt19937_64 engine(seed_gen()); ll rnum(ll r) { return engine() % r; } // [0, r) ll rnum(ll l, ll r) { return rnum(r - l) + l; } // [l, r) ll rng(ll l, ll r) { return rnum(l, r + 1); } // [l, r] double rng01() { return engine() * pow(2, -64); } template<class T> void shuf(vector<T>& v) { shuffle(all(v), engine); } void shuf(string& s) { shuffle(all(s), engine); } } using namespace rdv; template<class T> vector<int> compress(vector<T> v) { int n = v.size(); vector<T> tmp = v; sort(tmp.begin(), tmp.end()); tmp.erase(unique(tmp.begin(), tmp.end()), tmp.end()); vector<int> res(n); for (int i = 0; i < n; i++) res[i] = lower_bound(tmp.begin(), tmp.end(), v[i]) - tmp.begin(); return res; } #include <atcoder/all> using namespace atcoder; constexpr ll mod = mod998; using mint = static_modint<mod>; istream& operator >>(istream& s, mint& m) { ll y; s >> y; m = y; return s; } ostream& operator <<(ostream& s, mint& m) { return s << m.val(); } ostream& operator <<(ostream& s, const vector<mint>& v) { for (auto& e : v) s << e.val() << ' '; return s; } vector<mint> fac, inv, facinv; void modcalc(int n) { fac.resize(n); inv.resize(n); facinv.resize(n); fac[0] = 1; fac[1] = 1; inv[1] = 1; facinv[0] = 1; facinv[1] = 1; for (ll i = 2; i < n; i++) { fac[i] = fac[i - 1] * i; inv[i] = -inv[mod % i] * (mod / i); facinv[i] = facinv[i - 1] * inv[i]; } } mint comb(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[k] * facinv[n - k]; } mint perm(ll n, ll k) { if (n < 0 || k < 0 || n < k) return 0; return fac[n] * facinv[n - k]; } mint hom(ll n, ll k) { if (n < 0 || k < 0 || n == 0 && k > 0) return 0; if (n == 0 && k == 0) return 1; return fac[n + k - 1] * facinv[k] * facinv[n - 1]; } int main() { int n; cin >> n; modcalc(n + 1); string s; cin >> s; if (s[1] == '(') { mint ans = 0; rep(i, n / 2 + 1) { ans += comb(n / 2, i) * comb(n / 2, i); } cout << ans << '\n'; } else { mint ans = mint(2).pow(n / 2); cout << ans << '\n'; } }