Consider the Counting Sort algorithm below The body of the for loop in Lines 10 12 executes subtractions assuming that A length is n Consider the Counting Sort algorithm below The body of the for loop in Lines 7 8 executes additions assuming that A length is n COUNTING SORT(A, B, k) 1 let C 0 k be a new array 2 for i 0 to k 3 C i 0 4 for j 1 to A length 5 C A j C A j 1 6 C i now contains the number of elements equal to i 7 for i 1 to k 8 C i C i C i 1 9 C i now contains the number of elements less than or equal to i 10 for j A length downto 1 11 B C A j A j 12 C A j C A j 1

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Question: Consider the Counting Sort algorithm below. The body of the for loop in Lines 10-12 executes ______ subtractions assuming that A.length is n. Consider the

Consider the Counting Sort algorithm below. The body of the for loop in Lines 10-12 executes ______ subtractions assuming that A.length is n.

Consider the Counting Sort algorithm below. The body of the for loop in Lines 7-8 executes ______ additions assuming that A.length is n.

Consider the Counting Sort algorithm below. The body of the for loop

COUNTING-SORT(A, B, k) 1 let C[0.. k] be a new array 2 for i = 0 to k 3 C[i] = 0 4 for j = 1 to A.length 5 C[A[j]] = C[A[j]] + 1 6 // C[i] now contains the number of elements equal to i. 7 for i = 1 to k 8 C[i] = C[i] + C[i 1] 9 // C[i] now contains the number of elements less than or equal to i. 10 for j = A.length downto 1 11 B[C[A[j]]] = A[j] 12 C[A[j]] = C[A[j]] 1

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