
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
If a known weight $p$ is placed on one pan $A$ of a false balance, it balances with a weight $x$ placed on the other pan $B$. If the same weight $p$ is placed on pan $B$, it balances with a weight $y$ placed on pan $A$. Is the sum of weights $x$ and $y$ less than or greater than $2p$?

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