Let A=[a0,a1,⋯,am−1]A=[a0,a1,⋯,am−1]A=[a_0, a_1, \cdots, a_{m-1}] be a list of mmm distinct integers. 

Let B=[b0,b1,⋯,bn−1]B=[b_0, b_1, \cdots, b_{n-1}] be a list of nn distinct integers. 

Find the correct sequence of statements for an algorithm that return the intersection A∩BA \cap B.

Given the algorithm below and an input A=[1,6,2,7,5,8,4,3]A=[1,6,2,7,5,8,4,3], determine the return when the input value xx is 5.

procedure Alg2(x, A): A is a list of n integers

1    i = 0

2    while (i < n)

3        if (x == A[i])

4            break

5        end of if

6        i = i + 1

7    end of while

8    if (i < n)

9        location = i

a    else:

b        location = -1

c    end of if

d    return location

Given the algorithm below and an input A=[1,6,2,7,5,8,4,3]A=[1,6,2,7,5,8,4,3]A=[1,6,2,7,5,8,4,3], determine the return when the input value xxx is 0.

procedure Alg2(x, A): A is a list of n integers

1    i = 0

2    while (i < n)

3        if (x == A[i])

4            break

5        end of if

6        i = i + 1

7    end of while

8    if (i < n)

9        location = i

a    else:

b        location = -1

c    end of if

d    return location

Given the algorithm below and an input [1,6,2,7,5,8,4,3][1,6,2,7,5,8,4,3], determine the value of mm after the body of the "for loop" (line 2 to line 6) is executed 4 times.

procedure Alg1(A): A is a list of n integers

1    m = A[0]

2    for i = 1 to n-1

3        if m < A[i] then 

4            m = A[i]

5        end of if

6    end of for

7    return m

Given the algorithm below and an input [1,6,2,7,5,8,4,3][1,6,2,7,5,8,4,3][1,6,2,7,5,8,4,3], determine the value of mmm after the body of the "for loop" (line 2 to line 6) is executed 3 times.

procedure Alg1(A): A is a list of n integers

1    m = A[0]

2    for i = 1 to n-1

3        if m < A[i] then 

4            m = A[i]

5        end of if

6    end of for

7    return m

Calculate the value of the following expression:

3∑i=13∏j=i(2×i+3×j)\displaystyle \sum_{i=1}^3 \prod_{j=i}^3 (2 \times i + 3 \times j)

Calculate the value of the following expression:

3∑i=13∏j=1(2×i+3×j)\displaystyle \sum_{i=1}^3 \prod_{j=1}^3 (2 \times i + 3 \times j)

Suppose a sequence is defined as:

a0a0a_0 = 4

ai=2×ai−1+4a_i = 2 \times a_{i-1} + 4 for all i≥1i \geq 1

Determine aia_i when ii is 2.

Calculate the value of the following expression:

3∑i=1i∏j=1(2×i+3×j)3∑i=1i∏j=1(2×i+3×j)\displaystyle \sum_{i=1}^3 \prod_{j=1}^i (2 \times i + 3 \times j)