Decide whether the below statement is True or False. You must briefly justify your answer

f$($N$)=$ O$($N$^2),$ where f$($N$)$ is defined to be the running time of the program:

A is an integer array of of size N count name occurrences $=0$

for x in A

for y in A:

product$=$x$*$y

if binary search$($A$,$ product$)$:

count name occurrences $+1$