Generate a text-based histogram for a quiz given to a class of students. the quiz is graded on a scale from 0 to 5. write a program that allows the user to enter grades for each student. as the grades are being entered, the program should count, using an array, the number of 0s, the number of 2s, the number of 4s. the program should be capable of handling an arbitrary number of student grades. you can do this by making an array of size 6, where each array element is initialized to zero. whenever a zero is entered, increment the value in the array at index 0. whenever a one is entered, increment the value in the array at index 1, and so on, up to index 5 of the array.

Entering key dates from your course syllabi test and quiz dates, assignments due dates in your planner can you manage your schedule by allowing you to see commitments ahead of time.

)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 is the largest decimal number that can be represented by a binary number with 4 place values? (remember, each place in a binary number has a value of a power of 2, starting in the ones place with 20.)