def Bostan_Mori(poly_nume,poly_deno,N,mod=0,convolve=None): #if type(poly_nume)==Polynomial: # poly_nume=poly_nume.polynomial #if type(poly_deno)==Polynomial: # poly_deno=poly_deno.polynomial if convolve==None: def convolve(poly_nume,poly_deno): conv=[0]*(len(poly_nume)+len(poly_deno)-1) for i in range(len(poly_nume)): for j in range(len(poly_deno)): x=poly_nume[i]*poly_deno[j] if mod: x%=mod conv[i+j]+=x if mod: for i in range(len(conv)): conv[i]%=mod return conv while N: poly_deno_=[-x if i%2 else x for i,x in enumerate(poly_deno)] if N%2: poly_nume=convolve(poly_nume,poly_deno_)[1::2] else: poly_nume=convolve(poly_nume,poly_deno_)[::2] poly_deno=convolve(poly_deno,poly_deno_)[::2] if mod: for i in range(len(poly_nume)): poly_nume[i]%=mod for i in range(len(poly_deno)): poly_deno[i]%=mod N//=2 return poly_nume[0] def Berlekamp_Massey(A): n = len(A) B, C = [1], [1] l, m, p = 0, 1, 1 for i in range(n): d = A[i] for j in range(1, l + 1): d += C[j] * A[i - j] d %= mod if d == 0: m += 1 continue T = C.copy() q = pow(p, mod - 2, mod) * d % mod if len(C) < len(B) + m: C += [0] * (len(B) + m - len(C)) for j, b in enumerate(B): C[j + m] -= q * b C[j + m] %= mod if 2 * l <= i: B = T l, m, p = i + 1 - l, 1, d else: m += 1 res = [-c % mod for c in C[1:]] return res def BMBM(A,N,mod=0): deno=[1]+[-c for c in Berlekamp_Massey(A)] nume=[0]*(len(deno)-1) for i in range(len(A)): for j in range(len(deno)): if i+j