
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
We place flower pots with masses $1 \mathrm{~kg}$, $2 \mathrm{~kg}$, and $3 \mathrm{~kg}$ at the corners of an equilateral weightless triangular board. Where should we suspend the board so that the flower pots do not fall off?

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