import sys readline=sys.stdin.readline def Hadamard(polynomial,n,mod=0,inverse=False): assert mod%2 polynomial_=[x for x in polynomial]+[0]*((1<ii: continue polynomial_[i],polynomial_[ii]=polynomial_[i]+polynomial_[ii],polynomial_[i]-polynomial_[ii] if mod: polynomial_[i]%=mod polynomial_[ii]%=mod if inverse: if mod: inve_2=pow((mod+1)//2,n) for i in range(1<