# Pattern Recognition problem : $... ,224,8,3,4,11,...$

The following pattern was given to me by one of my friend:
$$\color{red}{224}$$ $$14 \quad \quad 8$$ $$4 \quad \quad \quad \quad \quad 3$$ $$8 \quad \quad \quad \quad \quad \quad \quad 4$$ $$7 \quad \quad \quad \quad \quad \quad \quad \quad \quad 11$$ $$\color{blue}{Z \quad20}$$ $$\color{red}{Y \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad \quad 44}$$ $$\color{blue}{10 \quad 30}$$ $$5 \quad \quad \quad \quad \quad \quad \quad \quad \quad 2$$ $$9 \quad \quad \quad \quad \quad \quad \quad 17$$ $$7 \quad \quad \quad \quad \quad 8$$ $$5 \quad \quad 8$$ $$\color{red}{80}$$ $$\color{red}{Y} \quad \& \quad \color{blue}{Z} =?$$

My Thoughts:
For the $$\color{blue}{\text{blue}}$$ colored terms :
We find:
$$(11 \times 4 )- (3 \times 8)= \color{blue}{20}$$ $$(8 \times 8 )- (17 \times 2)= \color{blue}{30}$$ $$(5 \times 9 )- (7 \times 5)= \color{blue}{10}$$ $$(14 \times 4 )- (8 \times 7)= \color{blue}{0=Z}$$

$$\implies \color{blue}{Z=0}$$

But I am not able to recognize the $$\color{red}{\text{red}}$$ colored terms,so any help please...

$$Y = \boxed{70}$$
each number at the ends of the diamond is equal to two times the product of the adjacent numbers. $$\begin{gather*} \color{red}{224} = 2 \times 14 \times 8 \\ \color{red}{44} = 2 \times 11 \times 2 \\ \color{red}{80} = 2 \times 8 \times 5 \\ \color{red}Y = 2 \times 5 \times 7 = \boxed{70} \end{gather*}$$