
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 the model of exponentially decaying learning rate $L={L_0}{D^{\frac{G}{{{G_0}}}}}$, the initial learning rate $L_0=0.5$, the decay rate $G_0=18$, and the learning rate decays to $0.4$ when the number of training iterations $G=18$, find the minimum number of training iterations required for the learning rate to decay to below $0.1$.

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