Question 6
For each pair of positive integers $x$, $y$ a nonnegative integer $x \Delta y$ is defined. It's known that for all positive integers $a$ and $b$ the following equalities hold:
i. $(a+b) \Delta b = a \Delta b + 1$.
ii. $(a \Delta b) \cdot (b \Delta a) = 0$.
Find values of the expressions $2016 \Delta 121$ and $2016 \Delta 144$.
i. $(a+b) \Delta b = a \Delta b + 1$.
ii. $(a \Delta b) \cdot (b \Delta a) = 0$.
Find values of the expressions $2016 \Delta 121$ and $2016 \Delta 144$.