Following is an algorithm to classify numbers as "Single Digit", "Double Digit" or "Big". Classify_Numbers_Algo INPUT Number IF Number < 9 "Single Digit" Else If Number < 99 "Double Digit" Else "Big" Verify for (5,9,47,99,100200) and correct the algorithm if required

Following is an algorithm to classify numbers as "Single Digit", "Double Digit" or "Big".

Classify_Numbers_Algo

INPUT Number
IF Number < 9
    "Single Digit"
Else If Number < 99
    "Double Digit"
Else
    "Big"

Verify for $(5,9,47,99,100200)$ and correct the algorithm if required

Based on the given algorithm, let's verify and correct the classification for the numbers (5), (9), (47), (99), and (100200).

Verification:

1. Number = 5

   • Condition: 5 < 9 is true.

   • Output: "Single Digit"

2. Number = 9

   • Condition: 9 < 9 is false.

   • Next Condition: 9 < 99 is true.

   • Output: "Double Digit" (Expected: "Single Digit")

3. Number = 47

   • Condition: 47 < 9 is false.

   • Next Condition: 47 < 99 is true.

   • Output: "Double Digit"

4. Number = 99

   • Condition: 99 < 9 is false.

   • Next Condition: 99 < 99 is false.

   • Else Condition: True.

   • Output: "Big" (Expected: "Double Digit")

5. Number = 100200

   • Condition: 100200 < 9 is false.

   • Next Condition: 100200 < 99 is false.

   • Else Condition: True.

   • Output: "Big"

Corrections:

To correctly classify the numbers, we need to adjust the conditions:

• "Single Digit" should be for numbers less than 10, not 9.

• "Double Digit" should be for numbers less than 100, not 99.

Here’s the corrected algorithm:

Classify_Numbers_Algo

INPUT Number
IF Number < 10 THEN
    PRINT "Single Digit"
ELSE IF Number < 100 THEN
    PRINT "Double Digit"
ELSE
    PRINT "Big"

Summary:

• (5): Correctly classified as "Single Digit".

• (9): Expected "Single Digit", and corrected algorithm classifies it correctly.

• (47): Correctly classified as "Double Digit".

• (99): Expected "Double Digit", and corrected algorithm classifies it correctly.

• (100200): Already correctly classified as "Big".

Thus, the corrected algorithm now accurately classifies all given test cases.