The following digital circuit is given

$\backslash ($ A $\backslash )$

$0$

$0$

$0$

$0$

$1$

$1$

$1$

$1$

The designer would like to check it for integers $3$ and $6$ to make sure the digital circuit operates properly. The LED at the output Y is respectively

i$)\backslash (\backslash$mathrm$\{$ON$\},\backslash$mathrm$\{$ON$\}\backslash )$

ii$)\backslash (\backslash$mathrm$\{$OFF$\},\backslash$mathrm$\{$ON$\}\backslash )$

iii$)$ OFF, OFF

iv$)\backslash (\backslash$mathrm$\{$ON$\},\backslash$mathrm$\{$OFF$\}\backslash )$