
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
Ivan trained for a cross-country meet where the shortest distance he ran was $5 \mathrm{~km}$, and his distances on subsequent days are determined by specific ratios. If on Monday, Ivan ran a certain distance, then on Tuesday he ran twice as far, on Wednesday he ran half as far as Tuesday, on Thursday he ran half as far as Wednesday, and on Friday he ran twice as far as Thursday. Determine the total distance Ivan ran.

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