Question

4. Determine how many times the innermost loop will be iterated when the algorithm segment is implemented and run. (Assume that i, j, a, b, c, and d are all positive integers. for i := 5 to 50 for j := 10 to 20 [Statements in body of inner loop. None contain branching statements that lead outside the loop.] next j next i (a) Assume a ? b and c ? d. for i := a to b for j := c to d [Statements in body of inner loop. None contain branching statements that lead outside the loop.] next j next i (b)

          4. Determine how many times the innermost loop will be iterated when the algorithm segment is implemented and run. (Assume that i, j, a, b, c, and d are all positive integers.

for i := 5 to 50
    for j := 10 to 20
        [Statements in body of inner loop.
        None contain branching statements that
        lead outside the loop.]
    next j
next i
(a)

Assume a ? b and c ? d.
for i := a to b
    for j := c to d
        [Statements in body of inner loop.
        None contain branching statements that
        lead outside the loop.]
    next j
next i
(b)

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4. Determine how many times the innermost loop will be iterated when the algorithm segment is implemented and run. (Assume that i, j, a, b, c, and d are all positive integers.

for i := 5 to 50
for j := 10 to 20
[Statements in body of inner loop.
None contain branching statements that
lead outside the loop.]
next j
next i
(a)

Assume a ? b and c ? d.
for i := a to b
for j := c to d
[Statements in body of inner loop.
None contain branching statements that
lead outside the loop.]
next j
next i
(b)

Added by Gonzalo R.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Joseph David

12/19/2022

Step 1

For each iteration of the outer loop, j ranges from 10 to 20, so there are 20 - 10 + 1 = 11 iterations for the inner loop. Show more…

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4. Determine how many times the innermost loop will be iterated when the algorithm segment is implemented and run. (Assume that i, j, a, b, c, and d are all positive integers. for i := 5 to 50 for j := 10 to 20 [Statements in body of inner loop. None contain branching statements that lead outside the loop.] next j next i (a) Assume a ≤ b and c ≤ d. for i := a to b for j := c to d [Statements in body of inner loop. None contain branching statements that lead outside the loop.] next j next i (b)

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