
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Five people, A, B, C, D, and E, take an exam with 7 true-or-false questions. The scoring rules are: for each question, a correct answer earns 1 point, an incorrect answer loses 1 point, and no answer neither earns nor loses any points. The table below records the answers of the five individuals. It is known that A, B, C, and D each scored 2 points. How many points should E score? What are the correct answers for each question?
\begin{tabular}{|c|c|c|c|c|c|}
\hline
Person \ Q. No. & $A$ & $B$ & $C$ & $D$ & $E$ \\
\hline 
1 & $\checkmark$ & $\checkmark$ & & $X$ & $\checkmark$ \\
\hline 
2 & & $X$ & $\checkmark$ & $X$ & $\checkmark$ \\
\hline 
3 & $X$ & $\checkmark$ & $X$ & $X$ & $X$ \\
\hline 
4 & $\checkmark$ & $\checkmark$ & $X$ & $\checkmark$ & \\
\hline 
5 & $X$ & $X$ & $\checkmark$ & $\checkmark$ & $\checkmark$ \\
\hline 
6 & $\checkmark$ & $X$ & $X$ & & $\times$ \\
\hline 
7 & $\checkmark$ & & $\checkmark$ & $\checkmark$ & $\checkmark$ \\
\hline
\end{tabular}

Present the answer in LaTex format: \boxed{Your answer}
user