The following C program is compiled and executed on the LC-3. When the program is executed, the run-time stack starts at memory location xFEFF and grows toward xC000 (the stack can occupy up to 16 KB...

The following C program is compiled and executed on the LC-3. When

the program is executed, the run-time stack starts at memory location

xFEFF and grows toward xC000 (the stack can occupy up to 16 KB of

memory).

int SevenUp(int x)

{

if (x == 1)

return 7;

else

return (7 + sevenUp(x - 1));

}

int main(void)

{

int a;

printf("Input a number \n");

scanf("%d", &a);

a = SevenUp(a);

printf("%d is 7 times the number\n", a);

}

a. What is the largest input value for which this program will run

correctly? Explain your answer.

b. If the run-time stack can occupy only 4 KB of memory, what is the

largest input value for which this program will run correctly?