結果

問題 No.1049 Zero (Exhaust)
ユーザー rniyarniya
提出日時 2020-05-30 00:32:25
言語 C++14
(gcc 13.2.0 + boost 1.83.0)
結果
AC  
実行時間 85 ms / 2,000 ms
コード長 3,310 bytes
コンパイル時間 1,502 ms
コンパイル使用メモリ 168,660 KB
実行使用メモリ 57,832 KB
最終ジャッジ日時 2023-08-06 06:58:59
合計ジャッジ時間 4,412 ms
ジャッジサーバーID
(参考情報)
judge14 / judge11
このコードへのチャレンジ(β)

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 1 ms
4,380 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 2 ms
4,376 KB
testcase_03 AC 58 ms
40,384 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 47 ms
33,320 KB
testcase_06 AC 83 ms
57,832 KB
testcase_07 AC 12 ms
9,860 KB
testcase_08 AC 26 ms
19,136 KB
testcase_09 AC 63 ms
43,968 KB
testcase_10 AC 68 ms
47,576 KB
testcase_11 AC 70 ms
47,980 KB
testcase_12 AC 81 ms
54,896 KB
testcase_13 AC 20 ms
14,504 KB
testcase_14 AC 38 ms
26,196 KB
testcase_15 AC 60 ms
41,108 KB
testcase_16 AC 49 ms
33,924 KB
testcase_17 AC 51 ms
35,284 KB
testcase_18 AC 71 ms
48,688 KB
testcase_19 AC 60 ms
41,336 KB
testcase_20 AC 27 ms
18,808 KB
testcase_21 AC 62 ms
42,556 KB
testcase_22 AC 35 ms
25,140 KB
testcase_23 AC 85 ms
57,784 KB
testcase_24 AC 85 ms
57,816 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;
const long long MOD=1e9+7;

template<uint_fast64_t Modulus> class modint{
    using u64=uint_fast64_t;
    public:
    u64 a;
    constexpr modint(const u64 x=0) noexcept:a(((x%Modulus)+Modulus)%Modulus){}
    constexpr u64 &value() noexcept{return a;}
    constexpr const u64 &value() const noexcept{return a;}
    constexpr modint &operator+=(const modint &rhs) noexcept{
        a+=rhs.a;
        if (a>=Modulus) a-=Modulus;
        return *this;
    }
    constexpr modint operator+(const modint &rhs) const noexcept{
        return modint(*this)+=rhs;
    }
    constexpr modint &operator++() noexcept{
        return ++a,*this;
    }
    constexpr modint operator++(int) noexcept{
        modint t=*this; return ++a,t;
    }
    constexpr modint &operator-=(const modint &rhs) noexcept{
        if (a<rhs.a) a+=Modulus;
        a-=rhs.a;
        return *this;
    }
    constexpr modint operator-(const modint &rhs) const noexcept{
        return modint(*this)-=rhs;
    }
    constexpr modint &operator--() noexcept{
        return --a,*this;
    }
    constexpr modint operator--(int) noexcept{
        modint t=*this; return --a,t;
    }
    constexpr modint &operator*=(const modint &rhs) noexcept{
        a=a*rhs.a%Modulus;
        return *this;
    }
    constexpr modint operator*(const modint &rhs) const noexcept{
        return modint(*this)*=rhs;
    }
    constexpr modint &operator/=(modint rhs) noexcept{
        u64 exp=Modulus-2;
        while(exp){
            if (exp&1) *this*=rhs;
            rhs*=rhs; exp>>=1;
        }
        return *this;
    }
    constexpr modint operator/(const modint &rhs) const noexcept{
        return modint(*this)/=rhs;
    }
    constexpr modint operator-() const noexcept{
        return modint(Modulus-a);
    }
    constexpr bool operator==(const modint &rhs) const noexcept{
        return a==rhs.a;
    }
    constexpr bool operator!=(const modint &rhs) const noexcept{
        return a!=rhs.a;
    }
    constexpr bool operator!() const noexcept{return !a;}
    friend constexpr modint pow(modint rhs,long long exp) noexcept{
        modint res{1};
        while(exp){
            if (exp&1) res*=rhs;
            rhs*=rhs; exp>>=1;
        }
        return res;
    }
    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;
    }
    friend ostream &operator<<(ostream &s,const modint &rhs) noexcept{
        return s << rhs.a;
    }
    friend istream &operator>>(istream &s,modint &rhs) noexcept{
        u64 a; rhs=modint{(s >> a,a)}; return s;
    }
};

using mint=modint<MOD>;

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    int P,K; cin >> P >> K;
    vector<vector<mint>> dp(K+1,vector<mint>(2,0));
    dp[0][0]=1;
    for (int i=0;i<K;++i){
        dp[i+1][0]+=dp[i][0]*(P+1)+dp[i][1]*2;
        dp[i+1][1]+=dp[i][0]*(P-1)+dp[i][1]*(2*P-2);
    }
    cout << dp[K][0] << '\n';
}
0