#495429 (PyPy3) No.793 うし数列 2

• 問題: No.793 うし数列 2
• ユーザー: 👑 Kazun
• 提出日時: 2020-06-12 14:36:55
• 言語: PyPy3 (7.3.15)
• 結果: AC
• 実行時間: 43 ms / 2,000 ms
• コード長: 2,505 bytes
• コンパイル時間: 202 ms
• コンパイル使用メモリ: 82,556 KB
• 実行使用メモリ: 54,544 KB
• 最終ジャッジ日時: 2024-06-24 03:55:02
• 合計ジャッジ時間: 2,111 ms
• ジャッジサーバーID （参考情報）: judge2 / judge4

ファイルパターン	結果
sample	AC * 2
other	AC * 21

ソースコード

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class Modulo_Error(Exception):
    pass
class Modulo():
    def __init__(self,a,n):
        self.a=a%n
        self.n=n
    def __str__(self):
        return "{} (mod {})".format(self.a,self.n)
    #+,-
    def __pos__(self):
        return self
    def __neg__(self):
        return  Modulo(-self.a,self.n)
    #等号,不等号
    def __eq__(self,other):
        if isinstance(other,Modulo):
            return (self.a==other.a) and (self.n==other.n)
        elif isinstance(other,int):
            return (self-other).a==0
    def __neq__(self,other):
        return not(self==other)
    
    #加法
    def __add__(self,other):
        if isinstance(other,Modulo):
            if self.n!=other.n:
                raise Modulo_Error("異なる法同士の演算です.")
            return Modulo(self.a+other.a,self.n)
        elif isinstance(other,int):
            return Modulo(self.a+other,self.n)
    def __radd__(self,other):
        if isinstance(other,int):
            return Modulo(self.a+other,self.n)
        
    #減法
    def __sub__(self,other):
        return self+(-other)
    def __rsub__(self,other):
        if isinstance(other,int):
            return -self+other
        
    #乗法
    def __mul__(self,other):
        if isinstance(other,Modulo):
            if self.n!=other.n:
                raise Modulo_Error("異なる法同士の演算です.")
            return Modulo(self.a*other.a,self.n)
        elif isinstance(other,int):
            return Modulo(self.a*other,self.n)
        
    def __rmul__(self,other):
        if isinstance(other,int):
            return Modulo(self.a*other,self.n)
        
    #Modulo逆数
    def Modulo_Inverse(self):
        x0, y0, x1, y1 = 1, 0, 0, 1
        a,b=self.a,self.n
        while b != 0:
            q, a, b = a // b, b, a % b
            x0, x1 = x1, x0 - q * x1
            y0, y1 = y1, y0 - q * y1
        if a!=1:
            raise Modulo_Error("{}の逆数が存在しません".format(self))
        else:
            return Modulo(x0,self.n)
        
    #除法
    def __truediv__(self,other):
        return self*other.Modulo_Inverse()
    #累乗
    def __pow__(self,m):
        u=abs(m)
        r=Modulo(1,self.n)
        while u>0:
            if u%2==1:
                r*=self
            self*=self
            u=u>>1
        if m>=0:
            return r
        else:
            return r.Modulo_Inverse()
N=int(input())
M=10**9+7
U=Modulo(10,M)
print(((4*U**N-1)/Modulo(3,M)).a)
 
 
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