Write a MIPS assembly language program that does the followings:

a$)$ Prompts the user for an integer in the range of $0$ to $100.$ If the user inputs $0$ the program stops. If the user inputs an invalid value $($e$.$g$.102)$ print an error message.

b$)$ Otherwise, the program stores the numbers from $0$ up to $($the input value$)*2$ into an array of N$+1$ words in memory, i$.$e$.$ initializes the array with values $0,2,6,8,...$ up to $2*$N where N is the value that user has given. Show a screenshot of the data segment that confirms that $0$ to $2*$N are correctly stored in the memory. Hint: use the add instruction to get $2*$N$.$

c$)$ The program then adds the value of all numbers of the array together by loading them from the main memory then add them up$,$ then prints out the sum with the message "The sum of double integers from $0$ to N is:$".$ For example, if the user gave $3$ as the input the program prints out "The sum of double integers from $0$ to $3$ is $12".(0*2+1*2+2*2+3*2=12.)$