#!/usr/local/bin/python3
def dt(M,n):
 M=[r[:] for r in M]; r=0
 for c in range(n):
  p=next((i for i in range(r,n) if M[i][c]),-1)
  if p<0: continue
  M[r],M[p]=M[p],M[r]
  for i in range(r+1,n):
   if M[i][c]:
    for j in range(c,n): M[i][j]^=M[r][j]
  r+=1
 return r==n
E=[(i,j) for i in range(4) for j in range(i+1,4)]
cnt=0
for m in range(1<<6):
 A=[[0]*4 for _ in range(4)]
 for k,(i,j) in enumerate(E):
  if m>>k&1: A[i][j]=A[j][i]=1
 if dt(A,4):
  B=[r[:] for r in A]
  for i in range(4): B[i][i]^=1
  if dt(B,4): cnt+=1
print(cnt)