結果

問題 No.2149 Vanitas Vanitatum
ユーザー noya2noya2
提出日時 2022-12-14 18:14:03
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 89 ms / 2,000 ms
コード長 5,968 bytes
コンパイル時間 4,773 ms
コンパイル使用メモリ 271,440 KB
実行使用メモリ 8,252 KB
最終ジャッジ日時 2024-11-08 10:01:58
合計ジャッジ時間 6,326 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge2
このコードへのチャレンジ
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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 7 ms
5,760 KB
testcase_01 AC 7 ms
5,760 KB
testcase_02 AC 8 ms
5,888 KB
testcase_03 AC 7 ms
5,888 KB
testcase_04 AC 7 ms
5,888 KB
testcase_05 AC 7 ms
5,888 KB
testcase_06 AC 7 ms
5,888 KB
testcase_07 AC 7 ms
5,760 KB
testcase_08 AC 7 ms
5,760 KB
testcase_09 AC 7 ms
5,760 KB
testcase_10 AC 7 ms
5,760 KB
testcase_11 AC 7 ms
5,888 KB
testcase_12 AC 37 ms
5,760 KB
testcase_13 AC 13 ms
5,888 KB
testcase_14 AC 43 ms
5,760 KB
testcase_15 AC 32 ms
5,888 KB
testcase_16 AC 15 ms
5,760 KB
testcase_17 AC 24 ms
5,888 KB
testcase_18 AC 40 ms
5,760 KB
testcase_19 AC 31 ms
5,760 KB
testcase_20 AC 46 ms
5,888 KB
testcase_21 AC 15 ms
5,888 KB
testcase_22 AC 45 ms
5,888 KB
testcase_23 AC 39 ms
5,888 KB
testcase_24 AC 28 ms
5,888 KB
testcase_25 AC 27 ms
5,888 KB
testcase_26 AC 89 ms
8,252 KB
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 # 

#line 1 "c.cpp"
#include<bits/stdc++.h>
#include<atcoder/all>
#define rep(i,n) for (int i = 0; i < int(n); ++i)
#define repp(i,n,m) for (int i = m; i < int(n); ++i)
#define reb(i,n) for (int i = int(n)-1; i >= 0; --i)
#define all(v) v.begin(),v.end()
using namespace std;
using namespace atcoder;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using P = pair<int, int>;
using PL = pair<long long, long long>;
using pdd = pair<long double, long double>;
using pil = pair<int,ll>;
using pli = pair<ll,int>;
template<class T>istream &operator>>(istream &is,vector<T> &v){for(auto &e:v)is>>e;return is;}
template<typename T>bool range(T a,T b,T x){return (a<=x&&x<b);}
template<typename T>bool rrange(T a,T b,T c,T d,T x,T y){return (range(a,c,x)&&range(b,d,y));}
template<typename T>void rev(vector<T> &v){reverse(v.begin(),v.end());}
void revs(string &s) {reverse(s.begin(),s.end());}
template<typename T>void sor(vector<T> &v, int f=0){sort(v.begin(),v.end());if(f!=0) rev(v);}
template<typename T>bool chmin(T &a,const T &b){if(a>b){a=b;return true;}return false;}
template<typename T>bool chmax(T &a,const T &b){if(a<b){a=b;return true;}return false;}
template<typename T>void uniq(vector<T> &v){sor(v);v.erase(unique(v.begin(),v.end()),v.end());}
template<typename T1, typename T2>void print(pair<T1,T2> a);
template<typename T>void print(vector<T> v);
template<typename T>void print(vector<vector<T>> v);
void print(){ putchar(' '); }
void print(bool a){ printf("%d", a); }
void print(int a){ printf("%d", a); }
void print(long a){ printf("%ld", a); }
void print(long long a){ printf("%lld", a); }
void print(char a){ printf("%c", a); }
void print(char a[]){ printf("%s", a); }
void print(const char a[]){ printf("%s", a); }
void print(long double a){ printf("%.15Lf", a); }
void print(const string& a){ for(auto&& i : a) print(i); }
void print(unsigned int a){ printf("%u", a); }
void print(unsigned long long a) { printf("%llu", a); }
template<class T> void print(const T& a){ cout << a; }
int out(){ putchar('\n'); return 0; }
template<class T> int out(const T& t){ print(t); putchar('\n'); return 0; }
template<class Head, class... Tail> int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; }
template<typename T1,typename T2>void print(pair<T1,T2> a){print(a.first);print(),print(a.second);}
template<typename T>void print(vector<T> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())print();}}
template<typename T>void print(vector<vector<T>> v){for(auto ite=v.begin();ite!=v.end();){print(*ite);if(++ite!=v.end())out();}}
void yes(){out("Yes");}
void no (){out("No");}
void yn (bool t){if(t)yes();else no();}
void fast_io(){cin.tie(0); ios::sync_with_stdio(0); cout<<fixed<<setprecision(20);}
void o(){out("!?");}

namespace noya2{

const int INF = 1001001007;
const long long mod1 = 998244353;
const long long mod2 = 1000000007;
const long long inf = 2e18;
const long double pi = 3.14159265358979323;
const long double eps = 1e-7;
const vector<int> dx = {0,1,0,-1,1,1,-1,-1};
const vector<int> dy = {1,0,-1,0,1,-1,-1,1};
const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
const string alp = "abcdefghijklmnopqrstuvwxyz";
const string NUM = "0123456789";

} // namespace noya2
using namespace noya2;

using mint = modint998244353;
//using mint = modint;
//using mint = modint1000000007;
void out(mint a){out(a.val());}
void out(vector<mint> a){vector<ll> b(a.size()); rep(i,a.size()) b[i] = a[i].val(); out(b);}
void out(vector<vector<mint>> a){for (auto v : a) out(v);}
istream &operator>>(istream &is,vector<mint> &v){for(auto &e:v){ll _x;is>>_x;e=_x;}return is;}

#line 2 "binom.hpp"

#line 4 "binom.hpp"

namespace noya2{

template<typename T>
struct MINT{
    MINT(int lim = -1){init(lim);}
    static T fact(int x) {init(x); return kaijo[x];}
    static T ifact(int x){init(x); return kainv[x];}
    static T ncr(int n, int r){
        if (n < r || r < 0) return T(0);
        init(n);
        return kaijo[n] * kainv[r] * kainv[n-r];
    }
    static T npr(int n, int r){
        if (n < r || r < 0) return T(0);
        init(n);
        return kaijo[n] * kainv[n-r];
    }
  private:
    static std::vector<T> kaijo, kainv;
    static void init(int lim){
        if (lim <= -1) lim = 300000;
        if ((int)kaijo.size() > lim) return ;
        int siz = kaijo.size();
        kaijo.resize(lim+1), kainv.resize(lim+1);
        for (int i = siz; i <= lim; i++) kaijo[i] = kaijo[i-1] * T(i);
        kainv[lim] = kaijo[lim].inv();
        for (int i = lim-1; i >= siz; i--) kainv[i] = kainv[i+1] * T(i+1);
    }
};
template<typename T>
std::vector<T>MINT<T>::kaijo = vector<T>(2,T(1));
template<typename T>
std::vector<T>MINT<T>::kainv = vector<T>(2,T(1));

} // namespace noya2
#line 80 "c.cpp"

void solve(){
    int n; cin >> n;
    vector<int> a(n); cin >> a;
    vector<int> b;
    int sum = 0, ima = 0;
    rep(i,n){
        sum += a[i];
        rep(j,a[i]-ima) b.emplace_back(1);
        ima = a[i];
        b.emplace_back(0);
    }
    vector<int> c0, c1;
    rep(i,(int)b.size()) (i % 2 == 0 ? c0 : c1).emplace_back(b[i]);
    MINT<mint> bnm;
    mint ans = 1;
    auto box = [&](vector<int> c){
        int res = 0, cnt = 0;
        vector<int> d;
        for (auto x : c){
            if (x == 0){
                if (cnt != 0) d.emplace_back(cnt), res += cnt;
            }
            else cnt++;
        }
        vector<int> le(1010,1000);
        int ma = -1;
        int m = d.size();
        rep(i,m){
            while (ma < d[i]) le[++ma] = i;
        }
        rep(i,m){
            repp(j,d[i]+1,1){
                int h = d[i] - j + 1 + i - le[j];
                ans *= mint(h).inv();
            }
        }
        return res;
    };
    int siz = box(c0) + box(c1);
    ans *= bnm.fact(siz);
    out(2*siz == sum ? ans.val() : (unsigned int)0);
}

int main(){
    fast_io();
    int t = 1; //cin >> t;
    while(t--) solve();
}
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