
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
Density is the ratio of an object's mass to its volume. The volume after compaction is $V_{2} = 0.8 V_{1}$. Given that the mass did not change due to compaction, the density after compaction is $\rho_{2} = \frac{1}{0.8}\rho_{1} = 1.25\rho_{1}$, which means it increased by $25\%$.

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