Why if you change COUNTING-SORT line 10 (see picture) to for j = 1 to A.length" it makes counting sort not stable, and therefore cannot be used in radix sort in sorting the digits?

Counting Sort CoUNtING-SorT(A, B,k) 1 let C[0..k] be a new array 2 for-0 to k 4 forj= l to A. length 6 7 C [i] now contains the number of elements equal to 1 . fori1 to k // ?[i] now contains the number of elements less than or equal to i. 9 10 11 12 for j = A. length downto 1 B[C [A [j]]] = A[j] CIALill =CIALill-1