Question 107
Do there exist integers $a, b, c, d, t, x, y, z$ such that each of expressions
$$
|ay - bx|, |az - cx|, |at - dx|, |bz - cy|, |bt - dy|, |ct - dz|
$$
would be valued either 1 or 2005?
$$
|ay - bx|, |az - cx|, |at - dx|, |bz - cy|, |bt - dy|, |ct - dz|
$$
would be valued either 1 or 2005?