
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
The teacher asked five students, _A_, _B_, _C_, _D_, and _E_, "How many of you played games yesterday?" Their answers were as follows: _A_: No one; _B_: One person; _C_: Two people; _D_: Three people; _E_: Four people. The teacher knows that among them, some played games and some did not. If those who did not play games are telling the truth, then among these 5 students, there were $\boxed{\text{4}}$ people who played games.

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