6. (This is a slight re-wording of problem 8-5 on page 207 of CLRS 3rd edition.) Suppose that, instead of sorting an array, we just require that the elements increase on average. More precisely, we call an n-element array A[1 ...n] k-sorted if for all i in the range 1 sisn-k, the following holds: Ej#k=A[i], Lj+k+1 A[j] k a. What does it mean for an array to be 1-sorted? b. Give a permutation of the numbers {1,2,3,..., 10} that is 2-sorted, but not sorted. c. Prove that an n-element array is k-sorted if and only if A[i]