The problem is to analyze a flowchart representing a computer program that checks multiple-choice answers on an exam. The flowchart iterates through 40 questions, compares the student's answer to the correct answer stored in an array named "ans", and calculates the total score. The variables $Qno$ represents the question number, ranging from 1 to 40. The variable $Total$ stores the accumulated score. The array "ans" stores the correct answers. We need to determine the values of P and S in the flowchart.

Applied MathematicsFlowchart AnalysisAlgorithm AnalysisComputer ProgrammingVariablesConditional Statements
2025/7/27

1. Problem Description

The problem is to analyze a flowchart representing a computer program that checks multiple-choice answers on an exam. The flowchart iterates through 40 questions, compares the student's answer to the correct answer stored in an array named "ans", and calculates the total score. The variables QnoQno represents the question number, ranging from 1 to
4

0. The variable $Total$ stores the accumulated score. The array "ans" stores the correct answers. We need to determine the values of P and S in the flowchart.

2. Solution Steps

The flowchart starts by initializing Total=0Total = 0 and Qno=1Qno = 1.
The first decision diamond checks if Qno<=PQno <= P. This loop continues as long as the question number is less than or equal to some value PP. Since the program checks 40 questions, PP must be
4

0. Otherwise, the program will not check all answers. Therefore, $P=40$.

Inside the loop, the student's answer for the current question is input.
The second decision diamond checks if Answer=ans[Qno]Answer = ans[Qno]. This means that the student's answer is compared with the correct answer stored in the array "ans" at the index corresponding to the current question number.
If the answer is correct, the flowchart updates the total score with the statement Total=S+1Total = S + 1.
Since TotalTotal must represent the accumulated score (number of questions answered correctly), SS must be the current value of TotalTotal. Thus Total=Total+1Total = Total + 1. Therefore, S=TotalS = Total.

3. Final Answer

P=40P = 40
S=TotalS = Total

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