#517958 (PyPy3) No.1126 SUM

• 問題: No.1126 SUM
• ユーザー: 👑 Kazun
• 提出日時: 2020-07-24 22:22:33
• 言語: PyPy3 (7.3.15)
• 結果: AC
• 実行時間: 95 ms / 1,000 ms
• コード長: 3,013 bytes
• コンパイル時間: 189 ms
• コンパイル使用メモリ: 82,060 KB
• 実行使用メモリ: 92,160 KB
• 最終ジャッジ日時: 2024-06-25 21:48:42
• 合計ジャッジ時間: 3,235 ms
• ジャッジサーバーID （参考情報）: judge4 / judge2

ファイルパターン	結果
other	AC * 26

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())
    
    def __rtruediv__(self,other):
        return other*(self.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()
#階乗の剰余のリスト
def Factorial_Modulo_List(N,M,Inverse=False):
    X=[0]*(N+1)
    X[0]=Modulo(1,M)
    
    for i in range(1,N+1):
        X[i]=X[i-1]*i
    if Inverse:
        Y=[0]*(N+1)
        Y[-1]=1/X[-1]
        
        for j in range(N-1,-1,-1):
            Y[j]=Y[j+1]*(j+1)
        return X,Y
    else:
        return X
#-------------------------------------------------
N,M=map(int,input().split())
K=10**9+7
F,G=Factorial_Modulo_List(M+1,K,True)
print((F[M+1]*G[N+1]*G[M-N]).a)
 
 
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