Consider the following algorithm, which takes in a length-n array A containing integers in the range 0 to 9. Assume that array indexing begins at 0. ALGO (A) 1: Let B be an array of length n 2: Let C be an array of length 10 3: for i = 0 to 9 4: C[i] = 0 5: for j = 0 to n-1 6: C[A[J]]= C[A[j]] + 1 7: for i=1 to 9. 8: 9: for j n-1 down to 10: 11: C[i] = C[i] + C[i-1] B[C[A[J]]-1] = A[j] C[A[J]]= C[A[j]] - 1

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I need help tracing the following algorithm ( by hand manually), which takes in length-n array A containing integers ranging from 0 to 9.  Assume that the array indexing begins at 0

Suppose the input is A = <5,2,0,6,1,9,6,5>.  

(Need help in Tracing for the following questions )

1)At the end of the execution of the for loop of Lines 7--8, what does C[7] contain?  

2)When ALGO terminates, the value of  B[0]  is?

3)When ALGO terminates, the value of  B[5]  is?

For reference Answer to Q1 is 7, Q2 is 0 and Q3 is 6.

Consider the following algorithm, which takes in a length-n array A
containing integers in the range 0 to 9.
Assume that array indexing begins at 0.
ALGO (A)
1: Let B be an array of length n
2: Let C be an array of length 10
3: for i=0 to 9
4:
5: for
6:
C[i] = 0
j = 0 to n-1
C[A[j]] C[A[j]] + 1
=
7: for i=1 to 9
8:
C[i] = C[i] + C[i-1]
9: for j = n-1 down to
10:
11:
B[C[A[j]]-1] = A[j]
C[A[J]]= C[A[j]] - 1
Transcribed Image Text:Consider the following algorithm, which takes in a length-n array A containing integers in the range 0 to 9. Assume that array indexing begins at 0. ALGO (A) 1: Let B be an array of length n 2: Let C be an array of length 10 3: for i=0 to 9 4: 5: for 6: C[i] = 0 j = 0 to n-1 C[A[j]] C[A[j]] + 1 = 7: for i=1 to 9 8: C[i] = C[i] + C[i-1] 9: for j = n-1 down to 10: 11: B[C[A[j]]-1] = A[j] C[A[J]]= C[A[j]] - 1
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