結果

問題 No.2792 Security Cameras on Young Diagram
ユーザー 👑 potato167potato167
提出日時 2024-06-21 21:35:45
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 18 ms / 2,000 ms
コード長 4,890 bytes
コンパイル時間 2,206 ms
コンパイル使用メモリ 212,092 KB
実行使用メモリ 5,840 KB
最終ジャッジ日時 2024-06-24 18:44:14
合計ジャッジ時間 3,055 ms
ジャッジサーバーID
(参考情報)
judge3 / judge4
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
sample AC * 3
other AC * 21
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 #
プレゼンテーションモードにする

#line 1 "cup.cpp"
#include <bits/stdc++.h>
#pragma GCC optimize("unroll-loops")
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
const ll ILL=2167167167167167167;
const int INF=2100000000;
const int mod=998244353;
#define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,T b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,T b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
bool yneos(bool a,bool upp=0){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;}
template<class T> void vec_out(vector<T> &p,int ty=0){
if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'<<p[i]<<'"';}cout<<"}\n";}
else{if(ty==1){cout<<p.size()<<"\n";}for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}}
template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T vec_sum(vector<T> &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;}
int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;}
template<class T> bool inside(T l,T x,T r){return l<=x&&x<r;}
#line 2 "/Users/Shared/po167_library/math/Binomial.hpp"
#line 5 "/Users/Shared/po167_library/math/Binomial.hpp"
namespace po167{
template<class T>
struct Binomial{
std::vector<T> fact_vec, fact_inv_vec;
void extend(int m = -1){
int n = fact_vec.size();
if (m == -1) m = n * 2;
if (n >= m) return;
fact_vec.resize(m);
fact_inv_vec.resize(m);
for (int i = n; i < m; i++){
fact_vec[i] = fact_vec[i - 1] * T(i);
}
fact_inv_vec[m - 1] = T(1) / fact_vec[m - 1];
for (int i = m - 1; i > n; i--){
fact_inv_vec[i - 1] = fact_inv_vec[i] * T(i);
}
}
Binomial(int MAX = 2){
fact_vec.resize(1, T(1));
fact_inv_vec.resize(1, T(1));
extend(MAX + 1);
}
T fact(int i){
if (i < 0) return 0;
while (int(fact_vec.size()) <= i) extend();
return fact_vec[i];
}
T invfact(int i){
if (i < 0) return 0;
while (int(fact_inv_vec.size()) <= i) extend();
return fact_inv_vec[i];
}
T C(int a, int b){
if (a < b || b < 0) return 0;
return fact(a) * invfact(b) * invfact(a - b);
}
T invC(int a, int b){
if (a < b || b < 0) return 0;
return fact(b) * fact(a - b) *invfact(a);
}
T P(int a, int b){
if (a < b || b < 0) return 0;
return fact(a) * invfact(a - b);
}
T inv(int a){
if (a < 0) return inv(-a) * T(-1);
if (a == 0) return 1;
return fact(a - 1) * invfact(a);
}
T Catalan(int n){
if (n < 0) return 0;
return fact(2 * n) * invfact(n + 1) * invfact(n);
}
T narayana(int n, int k){
if (n <= 0 || n < k || k < 1) return 0;
return C(n, k) * C(n, k - 1) * inv(n);
}
T Catalan_pow(int n,int d){
if (n < 0 || d < 0) return 0;
if (d == 0){
if (n == 0) return 1;
return 0;
}
return T(d) * inv(d + n) * C(2 * n + d - 1, n);
}
// retrun [x^a] 1/(1-x)^b
T ruiseki(int a,int b){
if (a < 0 || b < 0) return 0;
if (a == 0){
return 1;
}
return C(a + b - 1, b - 1);
}
// (a, b) -> (c, d)
// always x + e >= y
T mirror(int a, int b, int c, int d, int e = 0){
if (a + e < b || c + e < d) return 0;
if (a > c || b > d) return 0;
a += e;
c += e;
return C(c + d - a - b, c - a) - C(c + d - a - b, c - b + 1);
}
};
}
#line 32 "cup.cpp"
#include <atcoder/modint>
using mint = atcoder::modint998244353;
void solve();
// CYAN / FREDERIC
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t = 1;
// cin >> t;
rep(i, 0, t) solve();
}
void solve(){
ll N;
cin >> N;
vector<ll> A(N);
rep(i, 0, N) cin >> A[i];
A.push_back(0);
mint ans = 1;
po167::Binomial<mint> table(N * 2);
rep(i, 0, N){
rep(j, A[i + 1], A[i]){
ans += table.C(i + j, i);
}
ans += table.C(i + A[i + 1], i + 1);
}
cout << ans.val() << "\n";
}
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