Assume following precedence levels 1. parentheses
2. unary operators
3. ** (exponentiation : if the language supports it)
4. *, /
5. +, -
6. Relational operators
7. Conditional operators
8. Boolean operators
Determine the value of the following expressions, assuming
a = 5, b = 2, c = 4 and d =5. Justify.
a. !a = = 5
b. b*d <= c*c
c. b * c || (a – b * c)

Analyze the following code. int x = 1; while (0 < x) & & (x < 100) system.out.println(x++); a. the loop runs forever. b. the code does not compile because the loop body is not in the braces. c. the code does not compile because (0 < x) & & (x < 100) is not enclosed in a pair of parentheses. d. the numbers 1 to 99 are displayed. e. the numbers 2 to 100 are displayed.

)a grad student comes up with the following algorithm to sort an array a[1..n] that works by first sorting the first 2/3rds of the array, then sorting the last 2/3rds of the (resulting) array, and finally sorting the first 2/3rds of the new array. 1: function g-sort(a, n) . takes as input an array of n numbers, a[1..n] 2: g-sort-recurse(a, 1, n) 3: end function 4: function g-sort-recurse(a, `, u) 5: if u ⒠` ≤ 0 then 6: return . 1 or fewer elements already sorted 7: else if u ⒠` = 1 then . 2 elements 8: if a[u] < a[`] then . swap values 9: temp ↠a[u] 10: a[u] ↠a[`] 11: a[`] ↠temp 12: end if 13: else . 3 or more elements 14: size ↠u ⒠` + 1 15: twothirds ↠d(2 ◠size)/3e 16: g-sort-recurse(a, `, ` + twothirds ⒠1) 17: g-sort-recurse(a, u ⒠twothirds + 1, u) 18: g-sort-recurse(a, `, ` + twothirds ⒠1) 19: end if 20: end function first (5 pts), prove that the algorithm correctly sorts the numbers in the array (in increasing order). after showing that it correctly sorts 1 and 2 element intervals, you may make the (incorrect) assumption that the number of elements being passed to g-sort-recurse is always a multiple of 3 to simplify the notation (and drop the floors/ceilings).

What engine component is shown in the above figure?