请将下面这段代码翻译为python语言#include<stdio.h> #include<math.h> int fact(int N) { int ans=1; if(N==0){ } else{ for(int i=1;i<=N;i++) { ans*=i; } } return ans; } int DP(int a,int b) { int ans; return ans=fact(a)/fact(a-b); } int main() { int n; scanf("%d",&n); for(int N=2;N<=n;N++){ int P[N],F[N]; int sum=0,summ=0; double m[N]; double fenmusum=0; for(int i=1;i<=N;i++) { F[i]=0; P[i]=DP(N,i); for(int k=0;k<=i;k++) { F[i]+=DP(i,k); } sum+=P[i]*(F[i]-1); } for(int i=1;i<=N;i++) { m[i]=(double)(F[i]-1)/(double)sum; } for(int i=1;i<=N;i++) { fenmusum+=(double)pow((double)(F[i]-1),m[i])*(double)P[i]; } double ans=log(sum)/log(fenmusum); printf("|A|=%d D=%f\n",N,ans); } }

import math

def fact(N):
    ans = 1
    if N == 0:
        pass
    else:
        for i in range(1, N+1):
            ans *= i
    return ans

def DP(a, b):
    ans = fact(a) // fact(a-b)
    return ans

if __name__ == '__main__':
    n = int(input())
    for N in range(2, n+1):
        P, F = [0] * N, [0] * N
        sum, summ = 0, 0
        m = [0] * N
        fenmusum = 0
        for i in range(1, N+1):
            F[i] = 0
            P[i] = DP(N, i)
            for k in range(i+1):
                F[i] += DP(i, k)
            sum += P[i] * (F[i] - 1)
        for i in range(1, N+1):
            m[i] = (F[i] - 1) / sum
        for i in range(1, N+1):
            fenmusum += pow((F[i] - 1), m[i]) * P[i]
        ans = math.log(sum) / math.log(fenmusum)
        print("|A|=%d  D=%f" % (N, ans))