Assume row$-$major order is used in a system in which there is one$-$level cache of size $1$ megabytes and cache page size of $8$Kb $($not very likely in practice$).$ We have an array int a$|1000|[1000|$ which is initially in a contiguous area of main memory. Each integer has size $4$ bytes. Consider the following loops$//$ loop $1$for $($i $=0$; i $<1000$; i$++)$for $($i $=0$; j $<1000$; j$++)$ali$)$il $=$ itj;$//$ loop $2$for $($i $=0$; j $<1000$; j$++)$for $($i $=0$; i $<1000$; i$++)$alili$]=$ i$+$j;$//$ loop $3$for $($i $=0$; i $<100$; i$++)$for i $=0$;j $<100$; j$++)$a$($ili$]=$ itj;$//$ loop $4$for $($i $=0$; i $<100$; i$++)$for $($j $=0$; j $<100$; j$++)$Correct$!|$Assume the indices i and j are kept in registers. Which of the following are true?