Question $1(50$ points$)$:For the above code, please answer following questions. For each test case, limit the length of x and y within $3.$a$)$ Identify the fault, and fix the fault.b$)$ If possible, identify a test case that does not execute the fault.c$)$ If possible, identify a test case that executes the fault, but does not result in an error state.d$)$ If possible, identify a test case that results in an error, but not a failure.e$)$ If possible, identify a test case that results in a failure.