Write a code which for a given one$-$dimensional array A $($vector$)$ looks for pairs $($p$,$ q$)$ such that A$($p$)*$A$($q$)$ is an even number. That is$,$ the code should return

$-$ a numeric variable telling what is the number of pairs $($say nn$)$

$-$ an array listing the pairs of indices $($the size of the array should be n$2$n$2.$

The code should return n$=1$n$=1$ as the number of pairs, and an empty array of indices if the number of pairs exceeds $109109.$

For example, given an array A $=[215-5]$ the code should return number of pairs as $3,$ and then an array $[1,2$; $1,3$; $1,4],$ because$$there are exactly three pairs that full the above conditions, namely:

$(1,2),$ because A$(1)*$A$(2)=2,$

$(1,3),$ because A$(1)*$A$(3)=10,$

$(1,4),$ because A$(1)*$A$(4)=-10.$

Note that pairs should not be double$-$counted, because $(1,4)$ and $(4,1)$ is treated as the same pair. Answer in matlab code please.