Write a MIPS function

SMALLEST$\_$OF$\_$THREE that takes three signed integers from a$0,$ a$1,$ and a$2$ and returns the smallest of them in v$0.$

Then write a MIPS function PRODUCE$\_$SMALLEST that takes the addresses of the signed integer arrays Arr$0,$ Arr$1,$ Arr$2$ of the same length from a $0,$ a$1,$ and a$2$ correspondingly, and the length of each of those arrays from a$3.$ This function replaces the values of Arr$0$ following the rule

Arr$0[i]=$min$(Arr0[i],$Arr$1[i],$Arr$2[i])$

Both of your functions should obey all MIPS function rules. Make sure you preserve registers when needed where needed. Preserving registers for no reason or in the wrong place will be penalized.

The function PRODUCE$\_$SMALLEST must use the function

SMALLEST$\_$OF$\_$THREE $(0$ points if this rule is broken$).$