We execute the following sequence of instructions in a stack using the stack architecture described in Lecture 11 Slides 7 and 8: PUSHA PUSH B ADD POP B PUSHA PUSH B ADD POP X Assume that, initially, Memory at address A contains 001010, B contains 000011, X contains 000000. At the end of executing the sequence of instructions, what are the contents of the memory? Memory at address B: Memory at address X:

)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).

Write a fragment of code that reads in strings from standard input, until end-of-file and prints to standard output the largest value. you may assume there is at least one value. (cascading/streaming logic, basic string processing)

Read each statement below. if the statement describes a peer-to-peer network, put a p next to it. if the statement describes a server-based network, put an s next to it. p - peer-to-peer s - server-based