
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
Given an algorithm: First step, set $m=a$; second step, if $b<m$, then set $m=b$ and output $m$; otherwise, proceed to the third step; third step, if $c<m$, then set $m=c$ and output $m$; otherwise, output "no solution". If $a=3$, $b=6$, $c=2$, determine the output of this algorithm.

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