Chapter 4.1, Problem 1SCP

Explanation of Solution

Improving the performance:

a)

• z is odd:
• The logical test version of the above given English statement is: z%2==1
• The logic for the even number is z%2==0 which means the given logic is for the odd numbers.

b)

• z is not greater than y’s square root:
• The logical test version of the above given English statement is: z <= Math.sqrt(y).
• If z is not greater than y’ square root, then the possibilities are that it may be lesser than or equal to y; square root.

c)

• y is positive:
• The logical test version of the above given English statement is: y > 0
• The numbers greater than zero are considered to be positive numbers.

d)

• Either x or y is even, and the other is odd:
• The logical test version of the above given English statement is: x % 2 != y % 2.
• If x%2 results zero then y%2 should result as one, which means both of the results cannot be the same.

e)

• y is a multiple of z:
• The logical test version of the above given English statement is: y % z == 0.
• If y mod z which is y%z results zero, then z is known to be the factor of y.

f)

• z is not zero:
• The logical test version of the above given English statement is: z != 0
• “!=” implies not equal to which means z is not equal to zero...