One problem..

[Mek]

How to solve this problem ?
Given a1, b1, c1
0<= a1, b1, c1 < 2^24

How to find such a, b, c that

a1 = (b * c) xor a
b1 = (a * c) xor b
c1 = (a * b) xor c

all operations are done mod 2^24