
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
There are 4 coins of different weights. In one action, it is possible to weigh two coins on a balance scale without weights and determine which one is heavier. It is required to order the coins by weight. Demonstrate that there is a method to order the coins such that the expected number of weighings is less than 4.8.

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