結果

問題 No.1239 Multiplication -2
ユーザー rniyarniya
提出日時 2020-09-25 22:16:06
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 23 ms / 2,000 ms
コード長 6,287 bytes
コンパイル時間 1,803 ms
コンパイル使用メモリ 171,136 KB
実行使用メモリ 7,064 KB
最終ジャッジ日時 2023-09-10 15:31:39
合計ジャッジ時間 3,689 ms
ジャッジサーバーID
（参考情報） 		judge11 / judge13
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 5 ms
5,452 KB
testcase_01 AC 6 ms
5,236 KB
testcase_02 AC 6 ms
5,352 KB
testcase_03 AC 6 ms
5,376 KB
testcase_04 AC 6 ms
5,344 KB
testcase_05 AC 6 ms
5,420 KB
testcase_06 AC 6 ms
5,352 KB
testcase_07 AC 6 ms
5,448 KB
testcase_08 AC 6 ms
5,360 KB
testcase_09 AC 6 ms
5,216 KB
testcase_10 AC 5 ms
5,328 KB
testcase_11 AC 5 ms
5,372 KB
testcase_12 AC 6 ms
5,352 KB
testcase_13 AC 5 ms
5,324 KB
testcase_14 AC 6 ms
5,364 KB
testcase_15 AC 12 ms
5,888 KB
testcase_16 AC 15 ms
6,200 KB
testcase_17 AC 19 ms
7,004 KB
testcase_18 AC 19 ms
7,000 KB
testcase_19 AC 20 ms
6,984 KB
testcase_20 AC 22 ms
7,004 KB
testcase_21 AC 19 ms
6,928 KB
testcase_22 AC 20 ms
6,704 KB
testcase_23 AC 17 ms
6,500 KB
testcase_24 AC 17 ms
6,400 KB
testcase_25 AC 13 ms
6,228 KB
testcase_26 AC 15 ms
6,420 KB
testcase_27 AC 10 ms
5,916 KB
testcase_28 AC 21 ms
6,724 KB
testcase_29 AC 22 ms
6,668 KB
testcase_30 AC 12 ms
5,872 KB
testcase_31 AC 16 ms
6,148 KB
testcase_32 AC 23 ms
7,064 KB
testcase_33 AC 17 ms
6,412 KB
testcase_34 AC 17 ms
6,412 KB
testcase_35 AC 11 ms
5,876 KB
testcase_36 AC 11 ms
5,948 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 # 

#include <bits/stdc++.h>
using namespace std;
#define LOCAL
#pragma region Macros
typedef long long ll;
#define ALL(x) (x).begin(),(x).end()
// const long long MOD=1000000007;
const long long MOD=998244353;
const int INF=1e9;
const long long IINF=1e18;
const int dx[4]={1,0,-1,0},dy[4]={0,1,0,-1};
const char dir[4]={'D','R','U','L'};

template<typename T>
istream &operator>>(istream &is,vector<T> &v){
    for (T &x:v) is >> x;
    return is;
}
template<typename T>
ostream &operator<<(ostream &os,const vector<T> &v){
    for (int i=0;i<v.size();++i){
        os << v[i] << (i+1==v.size()?"": " ");
    }
    return os;
}
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>
ostream &operator<<(ostream &os,const map<T,U> &m){
    os << '{';
    for (auto itr=m.begin();itr!=m.end();++itr){
        os << '(' << itr->first << ',' << itr->second << ')';
        if (++itr!=m.end()) os << ',';
        --itr;
    }
    os << '}';
    return os;
}
template<typename T>
ostream &operator<<(ostream &os,const set<T> &s){
    os << '{';
    for (auto itr=s.begin();itr!=s.end();++itr){
        os << *itr;
        if (++itr!=s.end()) os << ',';
        --itr;
    }
    os << '}';
    return os;
}

void debug_out(){cerr << '\n';}
template<class Head,class... Tail>
void debug_out(Head&& head,Tail&&... tail){
    cerr << head;
    if (sizeof...(Tail)>0) cerr << ", ";
    debug_out(move(tail)...);
}
#ifdef LOCAL
#define debug(...) cerr << " ";\
cerr << #__VA_ARGS__ << " :[" << __LINE__ << ":" << __FUNCTION__ << "]" << '\n';\
cerr << " ";\
debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif

template<typename T> T gcd(T x,T y){return y!=0?gcd(y,x%y):x;}
template<typename T> T lcm(T x,T y){return x/gcd(x,y)*y;}

template<class T1,class T2> inline bool chmin(T1 &a,T2 b){
    if (a>b){a=b; return true;} return false;
}
template<class T1,class T2> inline bool chmax(T1 &a,T2 b){
    if (a<b){a=b; return true;} return false;
}
#pragma endregion

template<uint32_t mod> class modint{
    using i64=int64_t;
    using u32=uint32_t;
    using u64=uint64_t;
public:
    u32 v;
    constexpr modint(const i64 x=0) noexcept :v(x<0?mod-1-(-(x+1)%mod):x%mod){}
    constexpr u32 &value() noexcept {return v;}
    constexpr const u32 &value() const noexcept {return v;}
    constexpr modint operator+(const modint &rhs) const noexcept {return modint(*this)+=rhs;}
    constexpr modint operator-(const modint &rhs) const noexcept {return modint(*this)-=rhs;}
    constexpr modint operator*(const modint &rhs) const noexcept {return modint(*this)*=rhs;}
    constexpr modint operator/(const modint &rhs) const noexcept {return modint(*this)/=rhs;}
    constexpr modint &operator+=(const modint &rhs) noexcept {
        v+=rhs.v;
        if (v>=mod) v-=mod;
        return *this;
    }
    constexpr modint &operator-=(const modint &rhs) noexcept {
        if (v<rhs.v) v+=mod;
        v-=rhs.v;
        return *this;
    }
    constexpr modint &operator*=(const modint &rhs) noexcept {
        v=(u64)v*rhs.v%mod;
        return *this;
    }
    constexpr modint &operator/=(const modint &rhs) noexcept {
        return *this*=rhs.pow(mod-2);
    }
    constexpr modint pow(u64 exp) const noexcept {
        modint self(*this),res(1);
        while (exp>0){
            if (exp&1) res*=self;
            self*=self; exp>>=1;
        }
        return res;
    }
    constexpr modint &operator++() noexcept {if (++v==mod) v=0; return *this;}
    constexpr modint &operator--() noexcept {if (v==0) v=mod; return --v,*this;}
    constexpr modint operator++(int) noexcept {modint t=*this; return ++*this,t;}
    constexpr modint operator--(int) noexcept {modint t=*this; return --*this,t;}
    template<class T> friend constexpr modint operator+(T x,modint y) noexcept {return modint(x)+y;}
    template<class T> friend constexpr modint operator-(T x,modint y) noexcept {return modint(x)-y;}
    template<class T> friend constexpr modint operator*(T x,modint y) noexcept {return modint(x)*y;}
    template<class T> friend constexpr modint operator/(T x,modint y) noexcept {return modint(x)/y;}
    constexpr bool operator==(const modint &rhs) const noexcept {return v==rhs.v;}
    constexpr bool operator!=(const modint &rhs) const noexcept {return v!=rhs.v;}
    constexpr bool operator!() const noexcept {return !v;}
    friend istream &operator>>(istream &s,modint &rhs) noexcept {
        i64 v; rhs=modint{(s>>v,v)}; return s;
    }
    friend ostream &operator<<(ostream &s,const modint &rhs) noexcept {
        return s<<rhs.v;
    }
};

template<class M>
struct Combination{
    vector<M> _fac,_inv,_finv;
    Combination(int n):_fac(n+1),_inv(n+1),_finv(n+1){
        _fac[0]=_finv[n]=_inv[0]=1;
        for (int i=1;i<=n;++i) _fac[i]=_fac[i-1]*i;
        _finv[n]/=_fac[n];
        for (int i=n-1;i>=0;--i) _finv[i]=_finv[i+1]*(i+1);
        for (int i=1;i<=n;++i) _inv[i]=_finv[i]*_finv[i-1];
    }
    M fac(int k) const {return _fac[k];}
    M finv(int k) const {return _finv[k];}
    M inv(int k) const {return _inv[k];}
    M P(int n,int r) const {
        if (n<0||r<0||n<r) return 0;
        return _fac[n]*_finv[n-r];
    }
    M C(int n,int r) const {
        if (n<0||r<0||n<r) return 0;
        return _fac[n]*_finv[r]*_finv[n-r];
    }
};

using mint=modint<MOD>;

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    Combination<mint> COM(200010);
    int N; cin >> N;
    vector<int> a(N); cin >> a;

    vector<mint> POW(N+1,1);
    for (int i=0;i<N;++i) POW[i+1]=POW[i]*2;
    vector<mint> dp(4,0);
    dp[2]=1;
    mint ans=0;
    for (int i=0;i<N;++i){
        if (a[i]==0){
            for (int j=0;j<4;++j) dp[j]=0;
        } else if (a[i]==1){
            ans+=dp[0]*POW[max(0,N-i-2)];
        } else if (a[i]==-1){
            ans+=dp[3]*POW[max(0,N-i-2)];
            swap(dp[0],dp[3]); swap(dp[1],dp[2]);
        } else if (a[i]==2){
            ans+=dp[1]*POW[max(0,N-i-2)];
            dp[0]=dp[1]; dp[3]=dp[2]; dp[1]=dp[2]=0;
        } else {
            ans+=dp[2]*POW[max(0,N-i-2)];
            dp[0]=dp[2]; dp[3]=dp[1]; dp[1]=dp[2]=0;
        }
        dp[2]+=POW[i];
    }

    cout << ans/POW[N-1] << '\n';
}
0