Question: 3. Let A be an array of integers and let p be an integer. Consider the problem of rearranging the values in A such

3. Let A be an array of integers and let p be an integer. Consider the problem of rearranging the values in A such that: The values that are less than or equal to p are placed before the values that are greater than p. Example: A = [2, 4, 7, 8, 9, 0, 5, 6, 7, 5, 1], and p = 5. After the array if partitioned we could have: A = - [2,4,0,5,5, 1,8,6,7,9, 7]. The problem can be solved in linear time by the following algorithm. Partition (A, p) j = 1 for i=1 to A.length if A[i] p exchange A[i] with Aj] j=j+1 Show that this algorithm is correct using a loop invariant. 4. Analyze the running time of the following sorting algorithm, and express it in notation.

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