def Smallest_Prime_Factor(N): """0,1,2,...,Nの最小の素因数のリスト(0,1については1にしている) """ if N==0: return [1] N=abs(N) L=list(range(N+1)) L[0]=L[1]=1 x=4 while x<=N: L[x]=2 x+=2 x=9 while x<=N: if L[x]==x: L[x]=3 x+=6 x=5 Flag=0 while x*x<=N: if L[x]==x: y=x*x while y<=N: if L[y]==y: L[y]=x y+=x<<1 x+=2+2*Flag Flag^=1 return L def Faster_Prime_Factorization(N,L): """ L:Smallest_Prime_Factors(N)で求めたリスト """ N=abs(N) D=[] while N>1: a=L[N] k=0 while L[N]==a: k+=1 N//=a D.append([a,k]) return D #================================================ from collections import defaultdict N=int(input()) Mod=998244353 D=defaultdict(int) P=Smallest_Prime_Factor(N) D=defaultdict(int) for i in range(1,(N+1)//2+1): A=defaultdict(int) for p,e in Faster_Prime_Factorization(i,P): A[p]+=e for p,e in Faster_Prime_Factorization(N-i,P): A[p]+=e for p in A: D[p]=max(D[p],A[p]) X=1 for p,e in D.items(): X*=pow(p,e,Mod) X%=Mod print(X)