python3 - <<'EOF'
import itertools
C=[[1,0,0,1],[0,1,1,0],[0,1,0,1],[1,0,1,0]]
rows=[x for x in itertools.product([0,1],repeat=4) if sum(x)%2==1]
def mm(Q):
 return [[sum(Q[i][k]*Q[j][k] for k in range(4))%2 for j in range(4)] for i in range(4)]
for Q in itertools.product(rows,repeat=4):
 if mm(Q)==C:
  print(Q)
  break
else: print('none')
EOF