結果
問題 | No.2898 Update Max |
ユーザー | apricity |
提出日時 | 2024-09-21 16:39:06 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 32 ms / 2,000 ms |
コード長 | 7,712 bytes |
コンパイル時間 | 1,498 ms |
コンパイル使用メモリ | 136,396 KB |
実行使用メモリ | 10,712 KB |
最終ジャッジ日時 | 2024-09-21 16:39:10 |
合計ジャッジ時間 | 3,601 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge5 |
(要ログイン)
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 | 2 ms
5,376 KB |
testcase_06 | AC | 2 ms
5,376 KB |
testcase_07 | AC | 2 ms
5,376 KB |
testcase_08 | AC | 27 ms
9,600 KB |
testcase_09 | AC | 29 ms
9,472 KB |
testcase_10 | AC | 28 ms
9,472 KB |
testcase_11 | AC | 28 ms
9,472 KB |
testcase_12 | AC | 28 ms
9,472 KB |
testcase_13 | AC | 30 ms
9,728 KB |
testcase_14 | AC | 28 ms
9,728 KB |
testcase_15 | AC | 27 ms
9,728 KB |
testcase_16 | AC | 28 ms
9,600 KB |
testcase_17 | AC | 31 ms
9,728 KB |
testcase_18 | AC | 32 ms
10,072 KB |
testcase_19 | AC | 32 ms
9,984 KB |
testcase_20 | AC | 32 ms
10,112 KB |
testcase_21 | AC | 28 ms
10,072 KB |
testcase_22 | AC | 29 ms
10,072 KB |
testcase_23 | AC | 27 ms
10,584 KB |
testcase_24 | AC | 28 ms
10,584 KB |
testcase_25 | AC | 28 ms
10,584 KB |
testcase_26 | AC | 29 ms
10,588 KB |
testcase_27 | AC | 29 ms
10,580 KB |
testcase_28 | AC | 24 ms
10,712 KB |
testcase_29 | AC | 2 ms
5,376 KB |
testcase_30 | AC | 2 ms
5,376 KB |
ソースコード
#include<iostream> #include<string> #include<vector> #include<algorithm> #include<numeric> #include<cmath> #include<utility> #include<tuple> #include<cstdint> #include<cstdio> #include<iomanip> #include<map> #include<queue> #include<set> #include<stack> #include<deque> #include<unordered_map> #include<unordered_set> #include<bitset> #include<cctype> #include<chrono> #include<random> #include<cassert> #include<cstddef> #include<iterator> #include<string_view> #include<type_traits> #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast<void>(0)) #endif using namespace std; #define rep1(a) for(int i = 0; i < a; i++) #define rep2(i, a) for(int i = 0; i < a; i++) #define rep3(i, a, b) for(int i = a; i < b; i++) #define rep4(i, a, b, c) for(int i = a; i < b; i += c) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep1(a) for(int i = (a)-1; i >= 0; i--) #define rrep2(i, a) for(int i = (a)-1; i >= 0; i--) #define rrep3(i, a, b) for(int i = (b)-1; i >= a; i--) #define rrep4(i, a, b, c) for(int i = (b)-1; i >= a; i -= c) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair<int, int>; using vi = vector<int>; using vl = vector<ll>; template <class T> using vc = vector<T>; template <class T> using vvc = vector<vc<T>>; template <class T> using vvvc = vector<vvc<T>>; template <class T> using vvvvc = vector<vvvc<T>>; template <class T> using vvvvvc = vector<vvvvc<T>>; #define vv(type, name, h, ...) \ vector<vector<type>> name(h, vector<type>(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector<vector<vector<type>>> name( \ h, vector<vector<type>>(w, vector<type>(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector<vector<vector<vector<type>>>> name( \ a, vector<vector<vector<type>>>( \ b, vector<vector<type>>(c, vector<type>(__VA_ARGS__)))) template<typename T> using PQ = priority_queue<T,vector<T>>; template<typename T> using minPQ = priority_queue<T, vector<T>, greater<T>>; template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; } template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; } void yesno(bool flag) {cout << (flag?"Yes":"No") << "\n";} template<typename T, typename U> ostream &operator<<(ostream &os, const pair<T, U> &p) { os << p.first << " " << p.second; return os; } template<typename T, typename U> istream &operator>>(istream &is, pair<T, U> &p) { is >> p.first >> p.second; return is; } template<typename T> ostream &operator<<(ostream &os, const vector<T> &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template<typename T> istream &operator>>(istream &is, vector<T> &v) { for (auto &x : v) is >> x; return is; } void in() {} template<typename T, class... U> void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template<typename T, class... U, char sep = ' '> void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template<typename T, class... U, char sep = ' '> void outr(const T &t, const U &...u) { cout << t; outr(u...); } template<int mod> struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % mod) { if (val < 0) val += mod; } constexpr int getmod() { return mod; } constexpr Fp operator - () const noexcept { return val ? mod - val : 0; } constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator += (const Fp& r) noexcept { val += r.val; if (val >= mod) val -= mod; return *this; } constexpr Fp& operator -= (const Fp& r) noexcept { val -= r.val; if (val < 0) val += mod; return *this; } constexpr Fp& operator *= (const Fp& r) noexcept { val = val * r.val % mod; return *this; } constexpr Fp& operator /= (const Fp& r) noexcept { long long a = r.val, b = mod, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % mod; if (val < 0) val += mod; return *this; } constexpr bool operator == (const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator != (const Fp& r) const noexcept { return this->val != r.val; } friend constexpr ostream& operator << (ostream &os, const Fp<mod>& x) noexcept { return os << x.val; } friend constexpr Fp<mod> modpow(const Fp<mod> &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; template<class T> struct BiCoef { vector<T> fact_, inv_, finv_; constexpr BiCoef() {} constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); int mod = fact_[0].getmod(); for(int i = 2; i < n; i++){ fact_[i] = fact_[i-1] * i; inv_[i] = -inv_[mod%i] * (mod/i); finv_[i] = finv_[i-1] * inv_[i]; } } constexpr T com(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n-k]; } constexpr T perm(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[n-k]; } constexpr T fact(int n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr T inv(int n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr T finv(int n) const noexcept { if (n < 0) return 0; return finv_[n]; } }; //const int mod = 1e9+7; const int mod = 998244353; using mint = Fp<mod>; BiCoef<mint> bc; int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; in(n); vector<int> a(n); in(a); vector<int> used(n,false); vector<int> v; bc.init(n+5); int qall = 0; rep(i,n){ if(a[i] == -1) qall++; else used[--a[i]] = true; } int qnow = 0; mint ans = 0; int idx = 0; rep(i,n) if(!used[i]) v.pb(i); int mx = -1; auto f = [&] (int l, int r, int k) -> mint{ // sum_{i=l}^{r} com(i,k) chmax(l, k); if(l > r) return 0; return bc.com(r+1,k+1) - bc.com(l,k+1); }; rep(i,n){ if(a[i] == -1){ ans += f(idx, qall-1, qnow) * bc.fact(qnow) * bc.fact(qall-qnow-1); qnow++; } else if(mx < a[i]){ mx = a[i]; while(idx < qall and v[idx] < mx) idx++; ans += bc.perm(idx, qnow) * bc.fact(qall-qnow); } } out(ans); }